6814757664 has 384 divisors, whose sum is σ = 24588748800. Its totient is φ = 1805276160.

The previous prime is 6814757659. The next prime is 6814757669. The reversal of 6814757664 is 4667574186.

6814757664 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 7 + 576 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6814757659) and next prime (6814757669).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6814757664.

It is not an unprimeable number, because it can be changed into a prime (6814757669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2346037 + ... + 2348939.

It is an arithmetic number, because the mean of its divisors is an integer number (64033200).

Almost surely, 2^6814757664 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 6814757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

6814757664 is an abundant number, since it is smaller than the sum of its proper divisors (17773991136).

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

6814757664 is a wasteful number, since it uses less digits than its factorization.

6814757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2951 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 6814757664 is about 82551.5454973437. The cubic root of 6814757664 is about 1895.9060200173.

The spelling of 6814757664 in words is "six billion, eight hundred fourteen million, seven hundred fifty-seven thousand, six hundred sixty-four".