5672558304 has 360 divisors, whose sum is σ = 19761560280. Its totient is φ = 1591156224.

The previous prime is 5672558293. The next prime is 5672558327. The reversal of 5672558304 is 4038552765.

5672558304 is a `hidden beast` number, since 5 + 67 + 2 + 5 + 583 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5672558304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7493094 + ... + 7493850.

It is an arithmetic number, because the mean of its divisors is an integer number (54893223).

Almost surely, 2^5672558304 is an apocalyptic number.

5672558304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5672558304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880780140).

5672558304 is an abundant number, since it is smaller than the sum of its proper divisors (14089001976).

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

5672558304 is a wasteful number, since it uses less digits than its factorization.

5672558304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5672558304 is about 75316.3880174826. The cubic root of 5672558304 is about 1783.4447352618. Note that the first 3 decimals are identical.

The spelling of 5672558304 in words is "five billion, six hundred seventy-two million, five hundred fifty-eight thousand, three hundred four".