96788964593664 has 416 divisors, whose sum is σ = 335704043431680. Its totient is φ = 26979493478400.

The previous prime is 96788964593621. The next prime is 96788964593683. The reversal of 96788964593664 is 46639546988769.

96788964593664 is a `hidden beast` number, since 9 + 6 + 7 + 8 + 8 + 9 + 6 + 4 + 593 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×96788964593664² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30215184 + ... + 33264624.

Almost surely, 2^{96788964593664} 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 96788964593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167852021715840).

96788964593664 is an abundant number, since it is smaller than the sum of its proper divisors (238915078838016).

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

96788964593664 is a wasteful number, since it uses less digits than its factorization.

96788964593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049522 (or 3049494 counting only the distinct ones).

The product of its digits is 101583175680, while the sum is 90.

The spelling of 96788964593664 in words is "ninety-six trillion, seven hundred eighty-eight billion, nine hundred sixty-four million, five hundred ninety-three thousand, six hundred sixty-four".