32930112660480 has 2816 divisors, whose sum is σ = 141488640000000. Its totient is φ = 7256615288832.

The previous prime is 32930112660469. The next prime is 32930112660521. The reversal of 32930112660480 is 8406621103923.

32930112660480 is a `hidden beast` number, since 3 + 2 + 9 + 3 + 0 + 11 + 26 + 604 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 221007467446 + ... + 221007467594.

Almost surely, 2^{32930112660480} is an apocalyptic number.

32930112660480 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 32930112660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744320000000).

32930112660480 is an abundant number, since it is smaller than the sum of its proper divisors (108558527339520).

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

32930112660480 is a wasteful number, since it uses less digits than its factorization.

32930112660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 32930112660480 in words is "thirty-two trillion, nine hundred thirty billion, one hundred twelve million, six hundred sixty thousand, four hundred eighty".