5668409376 has 288 divisors, whose sum is σ = 19360373760. Its totient is φ = 1608768000.

The previous prime is 5668409359. The next prime is 5668409381. The reversal of 5668409376 is 6739048665.

5668409376 is a `hidden beast` number, since 566 + 8 + 4 + 0 + 9 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8085826 + ... + 8086526.

It is an arithmetic number, because the mean of its divisors is an integer number (67223520).

Almost surely, 2^5668409376 is an apocalyptic number.

5668409376 is a gapful number since it is divisible by the number (56) 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 5668409376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880).

5668409376 is an abundant number, since it is smaller than the sum of its proper divisors (13691964384).

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

5668409376 is a wasteful number, since it uses less digits than its factorization.

5668409376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 5668409376 is about 75288.8396510399. The cubic root of 5668409376 is about 1783.0098234100.

The spelling of 5668409376 in words is "five billion, six hundred sixty-eight million, four hundred nine thousand, three hundred seventy-six".