7913584404 has 108 divisors (see below), whose sum is σ = 22103902548. Its totient is φ = 2385377280.

The previous prime is 7913584339. The next prime is 7913584429. The reversal of 7913584404 is 4044853197.

7913584404 is a `hidden beast` number, since 79 + 135 + 8 + 440 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5760810000 + 2152774404 = 75900^2 + 46398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7913584404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 836002 + ... + 845414.

Almost surely, 2^7913584404 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 7913584404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11051951274).

7913584404 is an abundant number, since it is smaller than the sum of its proper divisors (14190318144).

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

7913584404 is a wasteful number, since it uses less digits than its factorization.

7913584404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7913584404 is about 88958.3295931303. The cubic root of 7913584404 is about 1992.7726142412.

The spelling of 7913584404 in words is "seven billion, nine hundred thirteen million, five hundred eighty-four thousand, four hundred four".