32813962272 has 384 divisors, whose sum is σ = 121602539520. Its totient is φ = 8374440960.

The previous prime is 32813962261. The next prime is 32813962283. The reversal of 32813962272 is 27226931823.

32813962272 is a `hidden beast` number, since 3 + 2 + 8 + 13 + 9 + 622 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (32813962261) and next prime (32813962283).

It is a super-2 number, since 2×32813962272² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2430613 + ... + 2444075.

It is an arithmetic number, because the mean of its divisors is an integer number (316673280).

Almost surely, 2^32813962272 is an apocalyptic number.

32813962272 is a gapful number since it is divisible by the number (32) 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 32813962272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60801269760).

32813962272 is an abundant number, since it is smaller than the sum of its proper divisors (88788577248).

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

32813962272 is a wasteful number, since it uses less digits than its factorization.

32813962272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533 (or 13519 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 32813962272 in words is "thirty-two billion, eight hundred thirteen million, nine hundred sixty-two thousand, two hundred seventy-two".