83206877664 has 192 divisors, whose sum is σ = 227151267840. Its totient is φ = 26654085120.

The previous prime is 83206877651. The next prime is 83206877693. The reversal of 83206877664 is 46677860238.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55066669 + ... + 55068179.

It is an arithmetic number, because the mean of its divisors is an integer number (1183079520).

Almost surely, 2^83206877664 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 83206877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113575633920).

83206877664 is an abundant number, since it is smaller than the sum of its proper divisors (143944390176).

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

83206877664 is a wasteful number, since it uses less digits than its factorization.

83206877664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 83206877664 in words is "eighty-three billion, two hundred six million, eight hundred seventy-seven thousand, six hundred sixty-four".