9641652480 has 288 divisors, whose sum is σ = 34393161600. Its totient is φ = 2557698048.

The previous prime is 9641652479. The next prime is 9641652481. The reversal of 9641652480 is 842561469.

9641652480 is a `hidden beast` number, since 9 + 6 + 4 + 165 + 2 + 480 = 666.

9641652480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9641652479) and next prime (9641652481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9641652480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9641652481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7844506 + ... + 7845734.

It is an arithmetic number, because the mean of its divisors is an integer number (119420700).

Almost surely, 2^9641652480 is an apocalyptic number.

9641652480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9641652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196580800).

9641652480 is an abundant number, since it is smaller than the sum of its proper divisors (24751509120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9641652480 is a wasteful number, since it uses less digits than its factorization.

9641652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9641652480 is about 98191.9165715794. The cubic root of 9641652480 is about 2128.3864788845.

The spelling of 9641652480 in words is "nine billion, six hundred forty-one million, six hundred fifty-two thousand, four hundred eighty".