32004970905600 has 3648 divisors, whose sum is σ = 153531366220800. Its totient is φ = 6421059993600.

The previous prime is 32004970905577. The next prime is 32004970905601. The reversal of 32004970905600 is 650907940023.

It is a happy number.

32004970905600 is a `hidden beast` number, since 3 + 20 + 0 + 497 + 0 + 90 + 56 + 0 + 0 = 666.

It is a super-2 number, since 2×32004970905600² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32004970905601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1103619686386 + ... + 1103619686414.

Almost surely, 2^{32004970905600} is an apocalyptic number.

32004970905600 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 32004970905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76765683110400).

32004970905600 is an abundant number, since it is smaller than the sum of its proper divisors (121526395315200).

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

32004970905600 is an frugal number, since it uses more digits than its factorization.

32004970905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 32004970905600 in words is "thirty-two trillion, four billion, nine hundred seventy million, nine hundred five thousand, six hundred".