83609737009344 has 5376 divisors, whose sum is σ = 357871288320000. Its totient is φ = 19120211066880.

The previous prime is 83609737009307. The next prime is 83609737009391. The reversal of 83609737009344 is 44390073790638.

83609737009344 is a `hidden beast` number, since 83 + 60 + 9 + 7 + 370 + 0 + 93 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 939435247252 + ... + 939435247340.

It is an arithmetic number, because the mean of its divisors is an integer number (66568320000).

Almost surely, 2^{83609737009344} is an apocalyptic number.

83609737009344 is a gapful number since it is divisible by the number (84) 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 83609737009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178935644160000).

83609737009344 is an abundant number, since it is smaller than the sum of its proper divisors (274261551310656).

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

83609737009344 is a wasteful number, since it uses less digits than its factorization.

83609737009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 83609737009344 in words is "eighty-three trillion, six hundred nine billion, seven hundred thirty-seven million, nine thousand, three hundred forty-four".