83916906624 has 384 divisors, whose sum is σ = 262174598400. Its totient is φ = 25677969408.

The previous prime is 83916906613. The next prime is 83916906631. The reversal of 83916906624 is 42660961938.

83916906624 is a `hidden beast` number, since 8 + 3 + 9 + 1 + 6 + 9 + 0 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×83916906624² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153412719 + ... + 153413265.

It is an arithmetic number, because the mean of its divisors is an integer number (682746350).

Almost surely, 2^83916906624 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 83916906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131087299200).

83916906624 is an abundant number, since it is smaller than the sum of its proper divisors (178257691776).

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

83916906624 is a wasteful number, since it uses less digits than its factorization.

83916906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 83916906624 in words is "eighty-three billion, nine hundred sixteen million, nine hundred six thousand, six hundred twenty-four".