6872656896 has 660 divisors, whose sum is σ = 25412686200. Its totient is φ = 1839366144.

The previous prime is 6872656883. The next prime is 6872656897. The reversal of 6872656896 is 6986562786.

6872656896 is a `hidden beast` number, since 68 + 7 + 2 + 6 + 568 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (52254720) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6872656897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77220820 + ... + 77220908.

It is an arithmetic number, because the mean of its divisors is an integer number (38504070).

Almost surely, 2^6872656896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12706343100).

6872656896 is an abundant number, since it is smaller than the sum of its proper divisors (18540029304).

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

6872656896 is a wasteful number, since it uses less digits than its factorization.

6872656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 6872656896 is about 82901.4891060468. The cubic root of 6872656896 is about 1901.2601885476.

The spelling of 6872656896 in words is "six billion, eight hundred seventy-two million, six hundred fifty-six thousand, eight hundred ninety-six".