83827419264 has 128 divisors (see below), whose sum is σ = 252671788800. Its totient is φ = 27347899392.

The previous prime is 83827419259. The next prime is 83827419283. The reversal of 83827419264 is 46291472838.

83827419264 is a `hidden beast` number, since 8 + 382 + 74 + 192 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 83827419264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95607 + ... + 420470.

It is an arithmetic number, because the mean of its divisors is an integer number (1973998350).

Almost surely, 2^83827419264 is an apocalyptic number.

It is an amenable number.

83827419264 is an abundant number, since it is smaller than the sum of its proper divisors (168844369536).

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

83827419264 is a wasteful number, since it uses less digits than its factorization.

83827419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516147 (or 516129 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 83827419264 in words is "eighty-three billion, eight hundred twenty-seven million, four hundred nineteen thousand, two hundred sixty-four".