6306418944 has 360 divisors, whose sum is σ = 22437233280. Its totient is φ = 1722580992.

The previous prime is 6306418901. The next prime is 6306419017. The reversal of 6306418944 is 4498146036.

6306418944 is a `hidden beast` number, since 630 + 6 + 4 + 1 + 8 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6306418944.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3337552 + ... + 3339440.

It is an arithmetic number, because the mean of its divisors is an integer number (62325648).

Almost surely, 2^6306418944 is an apocalyptic number.

6306418944 is a gapful number since it is divisible by the number (64) 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 6306418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218616640).

6306418944 is an abundant number, since it is smaller than the sum of its proper divisors (16130814336).

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

6306418944 is a wasteful number, since it uses less digits than its factorization.

6306418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6306418944 is about 79412.9645838764. The cubic root of 6306418944 is about 1847.5417990339.

The spelling of 6306418944 in words is "six billion, three hundred six million, four hundred eighteen thousand, nine hundred forty-four".