36537557904 has 135 divisors (see below), whose sum is σ = 108739252947. Its totient is φ = 11450529792.

The previous prime is 36537557891. The next prime is 36537557933. The reversal of 36537557904 is 40975573563.

The square root of 36537557904 is 191148.

It is a perfect power (a square), and thus also a powerful number.

36537557904 is a `hidden beast` number, since 3 + 65 + 3 + 7 + 5 + 579 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2386517904 + 34151040000 = 48852^2 + 184800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38993724 + ... + 38994660.

Almost surely, 2^36537557904 is an apocalyptic number.

36537557904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

36537557904 is the 191148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36537557904

36537557904 is an abundant number, since it is smaller than the sum of its proper divisors (72201695043).

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

36537557904 is an equidigital number, since it uses as much as digits as its factorization.

36537557904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

It can be divided in two parts, 36537 and 557904, that added together give a square (594441 = 771²).

The spelling of 36537557904 in words is "thirty-six billion, five hundred thirty-seven million, five hundred fifty-seven thousand, nine hundred four".