32990976648000 has 1568 divisors, whose sum is σ = 147368509367040. Its totient is φ = 7143742771200.

The previous prime is 32990976647921. The next prime is 32990976648001. The reversal of 32990976648000 is 84667909923.

32990976648000 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 0 + 97 + 66 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32990976648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 775634734 + ... + 775677266.

Almost surely, 2^{32990976648000} is an apocalyptic number.

32990976648000 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 32990976648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73684254683520).

32990976648000 is an abundant number, since it is smaller than the sum of its proper divisors (114377532719040).

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

32990976648000 is an equidigital number, since it uses as much as digits as its factorization.

32990976648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604 (or 42569 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 32990976648000 in words is "thirty-two trillion, nine hundred ninety billion, nine hundred seventy-six million, six hundred forty-eight thousand".