9682152480 has 768 divisors, whose sum is σ = 45519667200. Its totient is φ = 1856286720.

The previous prime is 9682152457. The next prime is 9682152481. The reversal of 9682152480 is 842512869.

9682152480 is a `hidden beast` number, since 96 + 82 + 1 + 5 + 2 + 480 = 666.

It is a super-3 number, since 3×9682152480³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9682152481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4323201 + ... + 4325439.

It is an arithmetic number, because the mean of its divisors is an integer number (59270400).

Almost surely, 2^9682152480 is an apocalyptic number.

9682152480 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 9682152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22759833600).

9682152480 is an abundant number, since it is smaller than the sum of its proper divisors (35837514720).

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

9682152480 is a wasteful number, since it uses less digits than its factorization.

9682152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9682152480 is about 98397.9292465040. The cubic root of 9682152480 is about 2131.3624292848.

The spelling of 9682152480 in words is "nine billion, six hundred eighty-two million, one hundred fifty-two thousand, four hundred eighty".