6761585664 has 264 divisors, whose sum is σ = 20232875520. Its totient is φ = 2173796352.

The previous prime is 6761585659. The next prime is 6761585767. The reversal of 6761585664 is 4665851676.

6761585664 is a `hidden beast` number, since 6 + 76 + 1 + 5 + 8 + 566 + 4 = 666.

It is a super-2 number, since 2×6761585664² = 91438081383220641792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (7257600) is a multiple of the sum of its prime factors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 6761585664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53240769 + ... + 53240895.

It is an arithmetic number, because the mean of its divisors is an integer number (76639680).

Almost surely, 2^6761585664 is an apocalyptic number.

6761585664 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 6761585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116437760).

6761585664 is an abundant number, since it is smaller than the sum of its proper divisors (13471289856).

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

6761585664 is a wasteful number, since it uses less digits than its factorization.

6761585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 6761585664 is about 82228.8615025163. The cubic root of 6761585664 is about 1890.9622176933.

The spelling of 6761585664 in words is "six billion, seven hundred sixty-one million, five hundred eighty-five thousand, six hundred sixty-four".