36776171120896 has 81 divisors (see below), whose sum is σ = 73734925904731. Its totient is φ = 18306726428672.

The previous prime is 36776171120873. The next prime is 36776171120921. The reversal of 36776171120896 is 69802117167763.

The square root of 36776171120896 is 6064336.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31905145559296 + 4871025561600 = 5648464^2 + 2207040^2 .

It is a super-3 number, since 3×36776171120896³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26100901440 + ... + 26100902848.

Almost surely, 2^{36776171120896} is an apocalyptic number.

36776171120896 is the 6064336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36776171120896

36776171120896 is an abundant number, since it is smaller than the sum of its proper divisors (36958754783835).

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

36776171120896 is an frugal number, since it uses more digits than its factorization.

36776171120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 64.

36776171120896 divided by its sum of digits (64) gives a square (574627673764 = 758042²).

The spelling of 36776171120896 in words is "thirty-six trillion, seven hundred seventy-six billion, one hundred seventy-one million, one hundred twenty thousand, eight hundred ninety-six".