32791998295680 has 512 divisors, whose sum is σ = 119286650246400. Its totient is φ = 7603442810880.

The previous prime is 32791998295657. The next prime is 32791998295769. The reversal of 32791998295680 is 8659289919723.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 32791998295596 and 32791998295605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29124967 + ... + 30229913.

Almost surely, 2^{32791998295680} is an apocalyptic number.

32791998295680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32791998295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59643325123200).

32791998295680 is an abundant number, since it is smaller than the sum of its proper divisors (86494651950720).

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

32791998295680 is a wasteful number, since it uses less digits than its factorization.

32791998295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105052 (or 1105040 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 78.

The spelling of 32791998295680 in words is "thirty-two trillion, seven hundred ninety-one billion, nine hundred ninety-eight million, two hundred ninety-five thousand, six hundred eighty".