32804072970256 has 135 divisors (see below), whose sum is σ = 75230758900479. Its totient is φ = 13816615842624.

The previous prime is 32804072970133. The next prime is 32804072970323. The reversal of 32804072970256 is 65207927040823.

The square root of 32804072970256 is 5727484.

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

It is a super-2 number, since 2×32804072970256² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32804072970197 and 32804072970206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9461801835 + ... + 9461805301.

Almost surely, 2^{32804072970256} is an apocalyptic number.

32804072970256 is the 5727484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32804072970256

32804072970256 is an abundant number, since it is smaller than the sum of its proper divisors (42426685930223).

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

32804072970256 is an frugal number, since it uses more digits than its factorization.

32804072970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 32804072970256 in words is "thirty-two trillion, eight hundred four billion, seventy-two million, nine hundred seventy thousand, two hundred fifty-six".