36575731920 has 640 divisors, whose sum is σ = 145910661120. Its totient is φ = 7372062720.

The previous prime is 36575731891. The next prime is 36575731993. The reversal of 36575731920 is 2913757563.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36575731920.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 60256257 + ... + 60256863.

It is an arithmetic number, because the mean of its divisors is an integer number (227985408).

Almost surely, 2^36575731920 is an apocalyptic number.

36575731920 is a gapful number since it is divisible by the number (30) 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 36575731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72955330560).

36575731920 is an abundant number, since it is smaller than the sum of its proper divisors (109334929200).

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

36575731920 is a wasteful number, since it uses less digits than its factorization.

36575731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 48.

The spelling of 36575731920 in words is "thirty-six billion, five hundred seventy-five million, seven hundred thirty-one thousand, nine hundred twenty".