7422395904 has 640 divisors, whose sum is σ = 28912435200. Its totient is φ = 1821450240.

The previous prime is 7422395887. The next prime is 7422395933. The reversal of 7422395904 is 4095932247.

7422395904 = 592³ + 593³ + ... + 624³.

7422395904 is a `hidden beast` number, since 7 + 4 + 22 + 39 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7422395904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20224329 + ... + 20224695.

It is an arithmetic number, because the mean of its divisors is an integer number (45175680).

Almost surely, 2^7422395904 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 7422395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456217600).

7422395904 is an abundant number, since it is smaller than the sum of its proper divisors (21490039296).

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

7422395904 is a wasteful number, since it uses less digits than its factorization.

7422395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7422395904 is about 86153.3278753642. The cubic root of 7422395904 is about 1950.6590718927.

The spelling of 7422395904 in words is "seven billion, four hundred twenty-two million, three hundred ninety-five thousand, nine hundred four".