5668167456 has 336 divisors, whose sum is σ = 19364252544. Its totient is φ = 1598994432.

The previous prime is 5668167433. The next prime is 5668167487. The reversal of 5668167456 is 6547618665.

5668167456 is a `hidden beast` number, since 56 + 6 + 81 + 67 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 16819320 + ... + 16819656.

It is an arithmetic number, because the mean of its divisors is an integer number (57631704).

Almost surely, 2^5668167456 is an apocalyptic number.

5668167456 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 5668167456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682126272).

5668167456 is an abundant number, since it is smaller than the sum of its proper divisors (13696085088).

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

5668167456 is a wasteful number, since it uses less digits than its factorization.

5668167456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5668167456 is about 75287.2330212766. The cubic root of 5668167456 is about 1782.9844575713.

The spelling of 5668167456 in words is "five billion, six hundred sixty-eight million, one hundred sixty-seven thousand, four hundred fifty-six".