32064149896920 has 768 divisors, whose sum is σ = 111940888550400. Its totient is φ = 7936586219520.

The previous prime is 32064149896903. The next prime is 32064149896921. The reversal of 32064149896920 is 2969894146023.

32064149896920 is a `hidden beast` number, since 3 + 2 + 0 + 64 + 1 + 498 + 9 + 69 + 20 = 666.

It is a super-2 number, since 2×32064149896920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32064149896921) 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, 32618666749 + ... + 32618667731.

It is an arithmetic number, because the mean of its divisors is an integer number (145756365300).

Almost surely, 2^{32064149896920} is an apocalyptic number.

32064149896920 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 32064149896920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55970444275200).

32064149896920 is an abundant number, since it is smaller than the sum of its proper divisors (79876738653480).

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

32064149896920 is a wasteful number, since it uses less digits than its factorization.

32064149896920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 32064149896920 in words is "thirty-two trillion, sixty-four billion, one hundred forty-nine million, eight hundred ninety-six thousand, nine hundred twenty".