6881263200 has 576 divisors, whose sum is σ = 28888151040. Its totient is φ = 1548288000.

The previous prime is 6881263199. The next prime is 6881263217. The reversal of 6881263200 is 23621886.

6881263200 is a `hidden beast` number, since 6 + 8 + 8 + 12 + 632 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10734880 + ... + 10735520.

It is an arithmetic number, because the mean of its divisors is an integer number (50153040).

Almost surely, 2^6881263200 is an apocalyptic number.

6881263200 is a gapful number since it is divisible by the number (60) 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 6881263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444075520).

6881263200 is an abundant number, since it is smaller than the sum of its proper divisors (22006887840).

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

6881263200 is a wasteful number, since it uses less digits than its factorization.

6881263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6881263200 is about 82953.3796779854. The cubic root of 6881263200 is about 1902.0534769866.

The spelling of 6881263200 in words is "six billion, eight hundred eighty-one million, two hundred sixty-three thousand, two hundred".