6374877264 has 240 divisors, whose sum is σ = 21903856000. Its totient is φ = 1725276672.

The previous prime is 6374877263. The next prime is 6374877281. The reversal of 6374877264 is 4627784736.

6374877264 is a `hidden beast` number, since 6 + 37 + 487 + 72 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6374877264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6374877263) 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, 935052 + ... + 941844.

Almost surely, 2^6374877264 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 6374877264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10951928000).

6374877264 is an abundant number, since it is smaller than the sum of its proper divisors (15528978736).

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

6374877264 is a wasteful number, since it uses less digits than its factorization.

6374877264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6824 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 6374877264 is about 79842.8285070112. The cubic root of 6374877264 is about 1854.2029850055.

The spelling of 6374877264 in words is "six billion, three hundred seventy-four million, eight hundred seventy-seven thousand, two hundred sixty-four".