6881668224 has 64 divisors (see below), whose sum is σ = 18288828480. Its totient is φ = 2292710400.

The previous prime is 6881668219. The next prime is 6881668291. The reversal of 6881668224 is 4228661886.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6881668224² = 94714715090422628352, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1068534 + ... + 1074954.

It is an arithmetic number, because the mean of its divisors is an integer number (285762945).

Almost surely, 2^6881668224 is an apocalyptic number.

6881668224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6881668224 is an abundant number, since it is smaller than the sum of its proper divisors (11407160256).

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

6881668224 is a wasteful number, since it uses less digits than its factorization.

6881668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9217 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 6881668224 is about 82955.8209169194. The cubic root of 6881668224 is about 1902.0907938847.

The spelling of 6881668224 in words is "six billion, eight hundred eighty-one million, six hundred sixty-eight thousand, two hundred twenty-four".