96624828720 has 960 divisors, whose sum is σ = 402757555200. Its totient is φ = 21508042752.

The previous prime is 96624828679. The next prime is 96624828739. The reversal of 96624828720 is 2782842669.

96624828720 is a `hidden beast` number, since 9 + 6 + 62 + 482 + 87 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286720392 + ... + 286720728.

It is an arithmetic number, because the mean of its divisors is an integer number (419539120).

Almost surely, 2^96624828720 is an apocalyptic number.

96624828720 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 96624828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201378777600).

96624828720 is an abundant number, since it is smaller than the sum of its proper divisors (306132726480).

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

96624828720 is a wasteful number, since it uses less digits than its factorization.

96624828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 96624828720 in words is "ninety-six billion, six hundred twenty-four million, eight hundred twenty-eight thousand, seven hundred twenty".