6918393456 has 120 divisors (see below), whose sum is σ = 20877205440. Its totient is φ = 2126089728.

The previous prime is 6918393413. The next prime is 6918393499. The reversal of 6918393456 is 6543938196.

6918393456 is a `hidden beast` number, since 6 + 9 + 183 + 9 + 3 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (6918393413) and next prime (6918393499).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943230 + ... + 1946786.

It is an arithmetic number, because the mean of its divisors is an integer number (173976712).

Almost surely, 2^6918393456 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 6918393456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438602720).

6918393456 is an abundant number, since it is smaller than the sum of its proper divisors (13958811984).

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

6918393456 is a wasteful number, since it uses less digits than its factorization.

6918393456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4614 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 6918393456 is about 83176.8805378033. The cubic root of 6918393456 is about 1905.4684065279.

The spelling of 6918393456 in words is "six billion, nine hundred eighteen million, three hundred ninety-three thousand, four hundred fifty-six".