32679600625 has 45 divisors (see below), whose sum is σ = 47549631591. Its totient is φ = 22387176000.

The previous prime is 32679600571. The next prime is 32679600637. The reversal of 32679600625 is 52600697623.

It is a happy number.

The square root of 32679600625 is 180775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6722524081 + 25957076544 = 81991^2 + 161112^2 .

It is not a de Polignac number, because 32679600625 - 2¹¹ = 32679598577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31635109 + ... + 31636141.

Almost surely, 2^32679600625 is an apocalyptic number.

32679600625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32679600625 is the 180775-th square number.

32679600625 is the 90388-th centered octagonal number.

It is an amenable number.

32679600625 is a deficient number, since it is larger than the sum of its proper divisors (14870030966).

32679600625 is an frugal number, since it uses more digits than its factorization.

32679600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 32679600625 in words is "thirty-two billion, six hundred seventy-nine million, six hundred thousand, six hundred twenty-five".