7633478265625 has 105 divisors (see below), whose sum is σ = 10307107618115. Its totient is φ = 5652842250000.

The previous prime is 7633478265617. The next prime is 7633478265653. The reversal of 7633478265625 is 5265628743367.

It is a happy number.

The square root of 7633478265625 is 2762875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 6687659774601 + 945818491024 = 2586051^2 + 972532^2 .

It is not a de Polignac number, because 7633478265625 - 2³ = 7633478265617 is a prime.

Its product of digits (304819200) is a multiple of the sum of its prime factors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 246241234360 + ... + 246241234390.

Almost surely, 2^{7633478265625} is an apocalyptic number.

7633478265625 is the 2762875-th square number.

7633478265625 is the 1381438-th centered octagonal number.

It is an amenable number.

7633478265625 is a deficient number, since it is larger than the sum of its proper divisors (2673629352490).

7633478265625 is an frugal number, since it uses more digits than its factorization.

7633478265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 59 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 64.

Multiplying 7633478265625 by its sum of digits (64), we get a square (488542609000000 = 22103000²).

The spelling of 7633478265625 in words is "seven trillion, six hundred thirty-three billion, four hundred seventy-eight million, two hundred sixty-five thousand, six hundred twenty-five".