7220084256 has 384 divisors, whose sum is σ = 26905374720. Its totient is φ = 1828915200.

The previous prime is 7220084219. The next prime is 7220084387. The reversal of 7220084256 is 6524800227.

7220084256 is a `hidden beast` number, since 7 + 220 + 0 + 8 + 425 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7220084256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2726325 + ... + 2728971.

It is an arithmetic number, because the mean of its divisors is an integer number (70066080).

Almost surely, 2^7220084256 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 7220084256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452687360).

7220084256 is an abundant number, since it is smaller than the sum of its proper divisors (19685290464).

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

7220084256 is a wasteful number, since it uses less digits than its factorization.

7220084256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7220084256 is about 84971.0789386601. The cubic root of 7220084256 is about 1932.7725778650.

The spelling of 7220084256 in words is "seven billion, two hundred twenty million, eighty-four thousand, two hundred fifty-six".