32977107216 has 135 divisors (see below), whose sum is σ = 95084318511. Its totient is φ = 10669128192.

The previous prime is 32977107209. The next prime is 32977107227. The reversal of 32977107216 is 61270177923.

The square root of 32977107216 is 181596.

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

32977107216 is a `hidden beast` number, since 329 + 7 + 7 + 107 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21591363600 + 11385743616 = 146940^2 + 106704^2 .

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, 80628420 + ... + 80628828.

Almost surely, 2^32977107216 is an apocalyptic number.

32977107216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32977107216 is the 181596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32977107216

32977107216 is an abundant number, since it is smaller than the sum of its proper divisors (62107211295).

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

32977107216 is an equidigital number, since it uses as much as digits as its factorization.

32977107216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 32977107216 in words is "thirty-two billion, nine hundred seventy-seven million, one hundred seven thousand, two hundred sixteen".