6872831808 has 224 divisors, whose sum is σ = 19972251648. Its totient is φ = 2077286400.

The previous prime is 6872831803. The next prime is 6872831821. The reversal of 6872831808 is 8081382786.

It is a super-2 number, since 2×6872831808² = 94471634122113097728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872831803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10891653 + ... + 10892283.

Almost surely, 2^6872831808 is an apocalyptic number.

6872831808 is a gapful number since it is divisible by the number (68) 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 6872831808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986125824).

6872831808 is an abundant number, since it is smaller than the sum of its proper divisors (13099419840).

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

6872831808 is a wasteful number, since it uses less digits than its factorization.

6872831808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 6872831808 is about 82902.5440381657. The cubic root of 6872831808 is about 1901.2763177004.

The spelling of 6872831808 in words is "six billion, eight hundred seventy-two million, eight hundred thirty-one thousand, eight hundred eight".