96768489576000 has 896 divisors, whose sum is σ = 352039903488000. Its totient is φ = 23226958848000.

The previous prime is 96768489575983. The next prime is 96768489576023. The reversal of 96768489576000 is 67598486769.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14274740611 + ... + 14274747389.

It is an arithmetic number, because the mean of its divisors is an integer number (392901678000).

Almost surely, 2^{96768489576000} 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 96768489576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176019951744000).

96768489576000 is an abundant number, since it is smaller than the sum of its proper divisors (255271413912000).

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

96768489576000 is a wasteful number, since it uses less digits than its factorization.

96768489576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 96768489576000 in words is "ninety-six trillion, seven hundred sixty-eight billion, four hundred eighty-nine million, five hundred seventy-six thousand".