96697827600 has 720 divisors, whose sum is σ = 359021604480. Its totient is φ = 22201344000.

The previous prime is 96697827599. The next prime is 96697827601. The reversal of 96697827600 is 672879669.

It is an interprime number because it is at equal distance from previous prime (96697827599) and next prime (96697827601).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (96697827601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220268181 + ... + 220268619.

Almost surely, 2^96697827600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96697827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179510802240).

96697827600 is an abundant number, since it is smaller than the sum of its proper divisors (262323776880).

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

96697827600 is a wasteful number, since it uses less digits than its factorization.

96697827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 96697827600 in words is "ninety-six billion, six hundred ninety-seven million, eight hundred twenty-seven thousand, six hundred".