6872325768 has 384 divisors, whose sum is σ = 24857763840. Its totient is φ = 1726272000.

The previous prime is 6872325751. The next prime is 6872325787. The reversal of 6872325768 is 8675232786.

6872325768 is a `hidden beast` number, since 68 + 7 + 2 + 3 + 2 + 576 + 8 = 666.

It is a super-2 number, since 2×6872325768² = 94457722923033579648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4639588 + ... + 4641068.

It is an arithmetic number, because the mean of its divisors is an integer number (64733760).

Almost surely, 2^6872325768 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 6872325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428881920).

6872325768 is an abundant number, since it is smaller than the sum of its proper divisors (17985438072).

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

6872325768 is a wasteful number, since it uses less digits than its factorization.

6872325768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 6872325768 is about 82899.4919646677. The cubic root of 6872325768 is about 1901.2296535059.

The spelling of 6872325768 in words is "six billion, eight hundred seventy-two million, three hundred twenty-five thousand, seven hundred sixty-eight".