96757434824400 has 2400 divisors, whose sum is σ = 427766669180928. Its totient is φ = 20443672166400.

The previous prime is 96757434824389. The next prime is 96757434824431. The reversal of 96757434824400 is 442843475769.

96757434824400 is a `hidden beast` number, since 9 + 6 + 7 + 574 + 34 + 8 + 24 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×96757434824400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 61122826009 + ... + 61122827591.

Almost surely, 2^{96757434824400} is an apocalyptic number.

96757434824400 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 96757434824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213883334590464).

96757434824400 is an abundant number, since it is smaller than the sum of its proper divisors (331009234356528).

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

96757434824400 is a wasteful number, since it uses less digits than its factorization.

96757434824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 96757434824400 in words is "ninety-six trillion, seven hundred fifty-seven billion, four hundred thirty-four million, eight hundred twenty-four thousand, four hundred".