83752813976832 has 3456 divisors, whose sum is σ = 352769937408000. Its totient is φ = 19401132441600.

The previous prime is 83752813976803. The next prime is 83752813976833. The reversal of 83752813976832 is 23867931825738.

83752813976832 is a `hidden beast` number, since 8 + 3 + 7 + 528 + 1 + 3 + 9 + 7 + 68 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×83752813976832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83752813976833) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136627754958 + ... + 136627755570.

Almost surely, 2^{83752813976832} 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 83752813976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176384968704000).

83752813976832 is an abundant number, since it is smaller than the sum of its proper divisors (269017123431168).

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

83752813976832 is a wasteful number, since it uses less digits than its factorization.

83752813976832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 680 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 83752813976832 in words is "eighty-three trillion, seven hundred fifty-two billion, eight hundred thirteen million, nine hundred seventy-six thousand, eight hundred thirty-two".