32625029376 has 243 divisors, whose sum is σ = 97243681717. Its totient is φ = 10519541760.

The previous prime is 32625029363. The next prime is 32625029383. The reversal of 32625029376 is 67392052623.

The square root of 32625029376 is 180624.

It is a perfect power (a square), and thus also a powerful number.

32625029376 is a `hidden beast` number, since 3 + 2 + 6 + 250 + 29 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23519289600 + 9105739776 = 153360^2 + 95424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 459507421 + ... + 459507491.

Almost surely, 2^32625029376 is an apocalyptic number.

32625029376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32625029376 is the 180624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32625029376

32625029376 is an abundant number, since it is smaller than the sum of its proper divisors (64618652341).

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

32625029376 is an frugal number, since it uses more digits than its factorization.

32625029376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 32625029376 in words is "thirty-two billion, six hundred twenty-five million, twenty-nine thousand, three hundred seventy-six".