7625363328 has 896 divisors, whose sum is σ = 28897171200. Its totient is φ = 1970749440.

The previous prime is 7625363303. The next prime is 7625363329. The reversal of 7625363328 is 8233635267.

7625363328 is a `hidden beast` number, since 7 + 6 + 2 + 5 + 3 + 633 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7625363329) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 331537525 + ... + 331537547.

Almost surely, 2^7625363328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7625363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448585600).

7625363328 is an abundant number, since it is smaller than the sum of its proper divisors (21271807872).

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

7625363328 is a wasteful number, since it uses less digits than its factorization.

7625363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 7625363328 is about 87323.3263681589. The cubic root of 7625363328 is about 1968.2798531234.

The spelling of 7625363328 in words is "seven billion, six hundred twenty-five million, three hundred sixty-three thousand, three hundred twenty-eight".