36716125824 has 512 divisors, whose sum is σ = 128711923200. Its totient is φ = 10212065280.

The previous prime is 36716125799. The next prime is 36716125879. The reversal of 36716125824 is 42852161763.

36716125824 is a `hidden beast` number, since 3 + 6 + 7 + 1 + 61 + 2 + 582 + 4 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (540).

It is a self number, because there is not a number n which added to its sum of digits gives 36716125824.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80341404 + ... + 80341860.

It is an arithmetic number, because the mean of its divisors is an integer number (251390475).

Almost surely, 2^36716125824 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 36716125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64355961600).

36716125824 is an abundant number, since it is smaller than the sum of its proper divisors (91995797376).

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

36716125824 is an frugal number, since it uses more digits than its factorization.

36716125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 510 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 36716125824 in words is "thirty-six billion, seven hundred sixteen million, one hundred twenty-five thousand, eight hundred twenty-four".