96879924417600 has 945 divisors, whose sum is σ = 376096469305557. Its totient is φ = 24457919984640.

The previous prime is 96879924417593. The next prime is 96879924417629. The reversal of 96879924417600 is 671442997869.

The square root of 96879924417600 is 9842760.

It is a perfect power (a square), and thus also a powerful number.

96879924417600 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 9 + 9 + 2 + 4 + 4 + 1 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34876772790336 + 62003151627264 = 5905656^2 + 7874208^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 67324477681 + ... + 67324479119.

Almost surely, 2^{96879924417600} is an apocalyptic number.

96879924417600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96879924417600 is the 9842760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96879924417600

96879924417600 is an abundant number, since it is smaller than the sum of its proper divisors (279216544887957).

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

96879924417600 is an equidigital number, since it uses as much as digits as its factorization.

96879924417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 96879924417600 in words is "ninety-six trillion, eight hundred seventy-nine billion, nine hundred twenty-four million, four hundred seventeen thousand, six hundred".