32117657796 has 243 divisors, whose sum is σ = 100724646477. Its totient is φ = 8602272000.

The previous prime is 32117657791. The next prime is 32117657801. The reversal of 32117657796 is 69775671123.

The square root of 32117657796 is 179214.

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

It is an interprime number because it is at equal distance from previous prime (32117657791) and next prime (32117657801).

It can be written as a sum of positive squares in only one way, i.e., 25005096900 + 7112560896 = 158130^2 + 84336^2 .

Its product of digits (3333960) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (32117657791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 127958671 + ... + 127958921.

Almost surely, 2^32117657796 is an apocalyptic number.

32117657796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32117657796 is the 179214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32117657796

32117657796 is an abundant number, since it is smaller than the sum of its proper divisors (68606988681).

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

32117657796 is a wasteful number, since it uses less digits than its factorization.

32117657796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 32117657796 in words is "thirty-two billion, one hundred seventeen million, six hundred fifty-seven thousand, seven hundred ninety-six".