5667344256 has 384 divisors, whose sum is σ = 18763430400. Its totient is φ = 1481711616.

The previous prime is 5667344251. The next prime is 5667344261. The reversal of 5667344256 is 6524437665.

It is an interprime number because it is at equal distance from previous prime (5667344251) and next prime (5667344261).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5667344251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51993930 + ... + 51994038.

It is an arithmetic number, because the mean of its divisors is an integer number (48863100).

Almost surely, 2^5667344256 is an apocalyptic number.

5667344256 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 5667344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381715200).

5667344256 is an abundant number, since it is smaller than the sum of its proper divisors (13096086144).

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

5667344256 is a wasteful number, since it uses less digits than its factorization.

5667344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The square root of 5667344256 is about 75281.7657603752. The cubic root of 5667344256 is about 1782.8981378523.

The spelling of 5667344256 in words is "five billion, six hundred sixty-seven million, three hundred forty-four thousand, two hundred fifty-six".