83931797664 has 576 divisors, whose sum is σ = 291915187200. Its totient is φ = 22661683200.

The previous prime is 83931797659. The next prime is 83931797671. The reversal of 83931797664 is 46679713938.

83931797664 is a `hidden beast` number, since 8 + 393 + 179 + 76 + 6 + 4 = 666.

It is a super-2 number, since 2×83931797664² (a number of 23 digits) contains 22 as substring.

Its product of digits (41150592) is a multiple of the sum of its prime factors (486).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215762782 + ... + 215763170.

It is an arithmetic number, because the mean of its divisors is an integer number (506797200).

Almost surely, 2^83931797664 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 83931797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145957593600).

83931797664 is an abundant number, since it is smaller than the sum of its proper divisors (207983389536).

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

83931797664 is a wasteful number, since it uses less digits than its factorization.

83931797664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 449 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 83931797664 in words is "eighty-three billion, nine hundred thirty-one million, seven hundred ninety-seven thousand, six hundred sixty-four".