32792346720 has 192 divisors, whose sum is σ = 131169507840. Its totient is φ = 7495386624.

The previous prime is 32792346703. The next prime is 32792346751. The reversal of 32792346720 is 2764329723.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 511962 + ... + 572441.

It is an arithmetic number, because the mean of its divisors is an integer number (683174520).

Almost surely, 2^32792346720 is an apocalyptic number.

32792346720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32792346720 is an abundant number, since it is smaller than the sum of its proper divisors (98377161120).

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

32792346720 is a wasteful number, since it uses less digits than its factorization.

32792346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084434 (or 1084420 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 32792346720 in words is "thirty-two billion, seven hundred ninety-two million, three hundred forty-six thousand, seven hundred twenty".