96729757286400 has 1920 divisors, whose sum is σ = 411706258666560. Its totient is φ = 22083859906560.

The previous prime is 96729757286369. The next prime is 96729757286443. The reversal of 96729757286400 is 468275792769.

96729757286400 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 9 + 7 + 572 + 8 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 119 ways as a sum of consecutive naturals, for example, 112870194772 + ... + 112870195628.

Almost surely, 2^{96729757286400} is an apocalyptic number.

96729757286400 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 96729757286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205853129333280).

96729757286400 is an abundant number, since it is smaller than the sum of its proper divisors (314976501380160).

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

96729757286400 is an frugal number, since it uses more digits than its factorization.

96729757286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 96729757286400 in words is "ninety-six trillion, seven hundred twenty-nine billion, seven hundred fifty-seven million, two hundred eighty-six thousand, four hundred".