96977844480 has 288 divisors, whose sum is σ = 346126773888. Its totient is φ = 22935961600.

The previous prime is 96977844427. The next prime is 96977844499. The reversal of 96977844480 is 8444877969.

It is a super-3 number, since 3×96977844480³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703842 + ... + 1759838.

It is an arithmetic number, because the mean of its divisors is an integer number (1201829076).

Almost surely, 2^96977844480 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 96977844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173063386944).

96977844480 is an abundant number, since it is smaller than the sum of its proper divisors (249148929408).

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

96977844480 is a wasteful number, since it uses less digits than its factorization.

96977844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56073 (or 56059 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 96977844480 in words is "ninety-six billion, nine hundred seventy-seven million, eight hundred forty-four thousand, four hundred eighty".