6881652864 has 128 divisors (see below), whose sum is σ = 21379608000. Its totient is φ = 2173132800.

The previous prime is 6881652859. The next prime is 6881652901. The reversal of 6881652864 is 4682561886.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6881652864² = 94714292281198804992, which contains 22 as substring.

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 6881652864.

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 15 ways as a sum of consecutive naturals, for example, 13264 + ... + 118064.

Almost surely, 2^6881652864 is an apocalyptic number.

6881652864 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 6881652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689804000).

6881652864 is an abundant number, since it is smaller than the sum of its proper divisors (14497955136).

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

6881652864 is a wasteful number, since it uses less digits than its factorization.

6881652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104843 (or 104825 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 6881652864 is about 82955.7283374693. The cubic root of 6881652864 is about 1902.0893787174.

The spelling of 6881652864 in words is "six billion, eight hundred eighty-one million, six hundred fifty-two thousand, eight hundred sixty-four".