96977009562664 has 96 divisors (see below), whose sum is σ = 230795819976960. Its totient is φ = 37775372544000.

The previous prime is 96977009562661. The next prime is 96977009562781. The reversal of 96977009562664 is 46626590077969.

It is not an unprimeable number, because it can be changed into a prime (96977009562661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18359689 + ... + 23044135.

It is an arithmetic number, because the mean of its divisors is an integer number (2404123124760).

Almost surely, 2^{96977009562664} 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 96977009562664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115397909988480).

96977009562664 is an abundant number, since it is smaller than the sum of its proper divisors (133818810414296).

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

96977009562664 is a wasteful number, since it uses less digits than its factorization.

96977009562664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689279 (or 4689268 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 76.

The spelling of 96977009562664 in words is "ninety-six trillion, nine hundred seventy-seven billion, nine million, five hundred sixty-two thousand, six hundred sixty-four".