7056834400 has 288 divisors, whose sum is σ = 21696111360. Its totient is φ = 2177280000.

The previous prime is 7056834397. The next prime is 7056834431. The reversal of 7056834400 is 44386507.

It is a self number, because there is not a number n which added to its sum of digits gives 7056834400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6713875 + ... + 6714925.

It is an arithmetic number, because the mean of its divisors is an integer number (75333720).

Almost surely, 2^7056834400 is an apocalyptic number.

7056834400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848055680).

7056834400 is an abundant number, since it is smaller than the sum of its proper divisors (14639276960).

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

7056834400 is a wasteful number, since it uses less digits than its factorization.

7056834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 7056834400 is about 84004.9665198433. The cubic root of 7056834400 is about 1918.0943911288.

The spelling of 7056834400 in words is "seven billion, fifty-six million, eight hundred thirty-four thousand, four hundred".