32629364496 has 45 divisors (see below), whose sum is σ = 91322968789. Its totient is φ = 10875732288.

The previous prime is 32629364461. The next prime is 32629364501. The reversal of 32629364496 is 69446392623.

The square root of 32629364496 is 180636.

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

32629364496 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 93 + 64 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31180496400 + 1448868096 = 176580^2 + 38064^2 .

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2160106 + ... + 2175158.

Almost surely, 2^32629364496 is an apocalyptic number.

32629364496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32629364496 is the 180636-th square number.

It is an amenable number.

32629364496 is an abundant number, since it is smaller than the sum of its proper divisors (58693604293).

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

32629364496 is an frugal number, since it uses more digits than its factorization.

32629364496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30120 (or 15058 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 32629364496 in words is "thirty-two billion, six hundred twenty-nine million, three hundred sixty-four thousand, four hundred ninety-six".