83581697664 has 128 divisors (see below), whose sum is σ = 247320216000. Its totient is φ = 27788497920.

The previous prime is 83581697629. The next prime is 83581697681. The reversal of 83581697664 is 46679618538.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1313299 + ... + 1375469.

Almost surely, 2^83581697664 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 83581697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123660108000).

83581697664 is an abundant number, since it is smaller than the sum of its proper divisors (163738518336).

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

83581697664 is a wasteful number, since it uses less digits than its factorization.

83581697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62583 (or 62565 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 83581697664 in words is "eighty-three billion, five hundred eighty-one million, six hundred ninety-seven thousand, six hundred sixty-four".