7313638400 has 132 divisors (see below), whose sum is σ = 18302267940. Its totient is φ = 2897510400.

The previous prime is 7313638399. The next prime is 7313638429. The reversal of 7313638400 is 48363137.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 133448704 + 7180189696 = 11552^2 + 84736^2 .

It is a super-4 number, since 4×7313638400⁴ (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2789090 + ... + 2791710.

It is an arithmetic number, because the mean of its divisors is an integer number (138653545).

Almost surely, 2^7313638400 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 7313638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151133970).

7313638400 is an abundant number, since it is smaller than the sum of its proper divisors (10988629540).

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

7313638400 is a wasteful number, since it uses less digits than its factorization.

7313638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 7313638400 is about 85519.8129090563. The cubic root of 7313638400 is about 1941.0847371836.

The spelling of 7313638400 in words is "seven billion, three hundred thirteen million, six hundred thirty-eight thousand, four hundred".