83694631680 has 864 divisors, whose sum is σ = 329048516160. Its totient is φ = 19464192000.

The previous prime is 83694631679. The next prime is 83694631697. The reversal of 83694631680 is 8613649638.

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, 462401190 + ... + 462401370.

It is an arithmetic number, because the mean of its divisors is an integer number (380843190).

Almost surely, 2^83694631680 is an apocalyptic number.

83694631680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83694631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164524258080).

83694631680 is an abundant number, since it is smaller than the sum of its proper divisors (245353884480).

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

83694631680 is a wasteful number, since it uses less digits than its factorization.

83694631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 83694631680 in words is "eighty-three billion, six hundred ninety-four million, six hundred thirty-one thousand, six hundred eighty".