7422816568320 has 704 divisors, whose sum is σ = 26773706695680. Its totient is φ = 1974332620800.

The previous prime is 7422816568247. The next prime is 7422816568361. The reversal of 7422816568320 is 238656182247.

7422816568320 is a `hidden beast` number, since 7 + 42 + 2 + 8 + 1 + 6 + 568 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6729660889 + ... + 6729661991.

Almost surely, 2^{7422816568320} 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 7422816568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386853347840).

7422816568320 is an abundant number, since it is smaller than the sum of its proper divisors (19350890127360).

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

7422816568320 is an equidigital number, since it uses as much as digits as its factorization.

7422816568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 7422816568320 in words is "seven trillion, four hundred twenty-two billion, eight hundred sixteen million, five hundred sixty-eight thousand, three hundred twenty".