7056518400 has 162 divisors, whose sum is σ = 25228851830. Its totient is φ = 1881722880.

The previous prime is 7056518387. The next prime is 7056518431. The reversal of 7056518400 is 48156507.

It can be written as a sum of positive squares in 3 ways, for example, as 2482430976 + 4574087424 = 49824^2 + 67632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3655 + ... + 118854.

Almost surely, 2^7056518400 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 7056518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614425915).

7056518400 is an abundant number, since it is smaller than the sum of its proper divisors (18172333430).

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

7056518400 is a wasteful number, since it uses less digits than its factorization.

7056518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122541 (or 122519 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7056518400 is about 84003.0856576114. The cubic root of 7056518400 is about 1918.0657604029.

It can be divided in two parts, 7056 and 518400, that multiplied together give a square (3657830400 = 60480²).

The spelling of 7056518400 in words is "seven billion, fifty-six million, five hundred eighteen thousand, four hundred".