32766792256 has 147 divisors (see below), whose sum is σ = 75978527113. Its totient is φ = 14017879040.

The previous prime is 32766792229. The next prime is 32766792263. The reversal of 32766792256 is 65229766723.

The square root of 32766792256 is 181016.

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

It can be written as a sum of positive squares in only one way, i.e., 25510478400 + 7256313856 = 159720^2 + 85184^2 .

It is a Duffinian number.

Its product of digits (11430720) is a multiple of the sum of its prime divisors (30).

It is a junction number, because it is equal to n+sod(n) for n = 32766792197 and 32766792206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1927458360 + ... + 1927458376.

Almost surely, 2^32766792256 is an apocalyptic number.

32766792256 is the 181016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32766792256

32766792256 is an abundant number, since it is smaller than the sum of its proper divisors (43211734857).

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

32766792256 is an frugal number, since it uses more digits than its factorization.

32766792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 30 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 55.

The spelling of 32766792256 in words is "thirty-two billion, seven hundred sixty-six million, seven hundred ninety-two thousand, two hundred fifty-six".