720056365056 has 1248 divisors, whose sum is σ = 2715878730240. Its totient is φ = 178872385536.

The previous prime is 720056365033. The next prime is 720056365069. The reversal of 720056365056 is 650563650027.

720056365056 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 5 + 636 + 5 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4417523631 + ... + 4417523793.

It is an arithmetic number, because the mean of its divisors is an integer number (2176184880).

Almost surely, 2^720056365056 is an apocalyptic number.

720056365056 is a gapful number since it is divisible by the number (76) 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 720056365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357939365120).

720056365056 is an abundant number, since it is smaller than the sum of its proper divisors (1995822365184).

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

720056365056 is a wasteful number, since it uses less digits than its factorization.

720056365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 720056365056 in words is "seven hundred twenty billion, fifty-six million, three hundred sixty-five thousand, fifty-six".