5627579904 has 360 divisors, whose sum is σ = 18240908400. Its totient is φ = 1664188416.

The previous prime is 5627579897. The next prime is 5627579911. The reversal of 5627579904 is 4099757265.

5627579904 is a `hidden beast` number, since 5 + 62 + 7 + 579 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5627579897) and next prime (5627579911).

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, 28279197 + ... + 28279395.

It is an arithmetic number, because the mean of its divisors is an integer number (50669190).

Almost surely, 2^5627579904 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 5627579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120454200).

5627579904 is an abundant number, since it is smaller than the sum of its proper divisors (12613328496).

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

5627579904 is a wasteful number, since it uses less digits than its factorization.

5627579904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 5627579904 is about 75017.1973883322. The cubic root of 5627579904 is about 1778.7185053027.

The spelling of 5627579904 in words is "five billion, six hundred twenty-seven million, five hundred seventy-nine thousand, nine hundred four".