9649860480 has 896 divisors, whose sum is σ = 39144964320. Its totient is φ = 2257403904.

The previous prime is 9649860449. The next prime is 9649860481. The reversal of 9649860480 is 840689469.

9649860480 is a `hidden beast` number, since 96 + 498 + 60 + 4 + 8 + 0 = 666.

9649860480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649860481) 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 111 ways as a sum of consecutive naturals, for example, 224415339 + ... + 224415381.

Almost surely, 2^9649860480 is an apocalyptic number.

9649860480 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 9649860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572482160).

9649860480 is an abundant number, since it is smaller than the sum of its proper divisors (29495103840).

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

9649860480 is a wasteful number, since it uses less digits than its factorization.

9649860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9649860480 is about 98233.7033812734. The cubic root of 9649860480 is about 2128.9902772207.

The spelling of 9649860480 in words is "nine billion, six hundred forty-nine million, eight hundred sixty thousand, four hundred eighty".