96874406400 has 480 divisors, whose sum is σ = 336886437888. Its totient is φ = 24507187200.

The previous prime is 96874406383. The next prime is 96874406407. The reversal of 96874406400 is 460447869.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96874406400.

It is not an unprimeable number, because it can be changed into a prime (96874406407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58251969 + ... + 58253631.

Almost surely, 2^96874406400 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 96874406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168443218944).

96874406400 is an abundant number, since it is smaller than the sum of its proper divisors (240012031488).

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

96874406400 is a wasteful number, since it uses less digits than its factorization.

96874406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 96874406400 in words is "ninety-six billion, eight hundred seventy-four million, four hundred six thousand, four hundred".