6278713344 has 156 divisors (see below), whose sum is σ = 18255871452. Its totient is φ = 2079129600.

The previous prime is 6278713303. The next prime is 6278713373. The reversal of 6278713344 is 4433178726.

6278713344 is a `hidden beast` number, since 627 + 8 + 7 + 13 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1474560000 + 4804153344 = 38400^2 + 69312^2 .

It is a super-2 number, since 2×6278713344² = 78844482512247324672, which contains 22 as substring.

Its product of digits (677376) is a multiple of the sum of its prime factors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 6278713344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6671914 + ... + 6672854.

It is an arithmetic number, because the mean of its divisors is an integer number (117024817).

Almost surely, 2^6278713344 is an apocalyptic number.

6278713344 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 6278713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127935726).

6278713344 is an abundant number, since it is smaller than the sum of its proper divisors (11977158108).

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

6278713344 is a wasteful number, since it uses less digits than its factorization.

6278713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1127 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 6278713344 is about 79238.3325417692. The cubic root of 6278713344 is about 1844.8322635972.

The spelling of 6278713344 in words is "six billion, two hundred seventy-eight million, seven hundred thirteen thousand, three hundred forty-four".