32680972800 has 1440 divisors, whose sum is σ = 147757209600. Its totient is φ = 6987202560.

The previous prime is 32680972769. The next prime is 32680972801. The reversal of 32680972800 is 827908623.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32680972801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413683161 + ... + 413683239.

Almost surely, 2^32680972800 is an apocalyptic number.

32680972800 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 32680972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73878604800).

32680972800 is an abundant number, since it is smaller than the sum of its proper divisors (115076236800).

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

32680972800 is an equidigital number, since it uses as much as digits as its factorization.

32680972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

32680972800 divided by its product of nonzero digits (290304) gives a triangular number (112575 = T₄₇₄).

The spelling of 32680972800 in words is "thirty-two billion, six hundred eighty million, nine hundred seventy-two thousand, eight hundred".