36921619584 has 640 divisors, whose sum is σ = 125295984000. Its totient is φ = 10729635840.

The previous prime is 36921619577. The next prime is 36921619639. The reversal of 36921619584 is 48591612963.

36921619584 is a `hidden beast` number, since 36 + 9 + 2 + 16 + 19 + 584 = 666.

It is a super-2 number, since 2×36921619584² (a number of 22 digits) contains 22 as substring.

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 36921619584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131393524 + ... + 131393804.

It is an arithmetic number, because the mean of its divisors is an integer number (195774975).

Almost surely, 2^36921619584 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 36921619584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62647992000).

36921619584 is an abundant number, since it is smaller than the sum of its proper divisors (88374364416).

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

36921619584 is a wasteful number, since it uses less digits than its factorization.

36921619584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 36921619584 in words is "thirty-six billion, nine hundred twenty-one million, six hundred nineteen thousand, five hundred eighty-four".