6872646528 has 384 divisors, whose sum is σ = 22855996800. Its totient is φ = 2037934080.

The previous prime is 6872646509. The next prime is 6872646533. The reversal of 6872646528 is 8256462786.

6872646528 is a `hidden beast` number, since 6 + 8 + 72 + 6 + 46 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (7741440) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18133443 + ... + 18133821.

It is an arithmetic number, because the mean of its divisors is an integer number (59520825).

Almost surely, 2^6872646528 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 6872646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427998400).

6872646528 is an abundant number, since it is smaller than the sum of its proper divisors (15983350272).

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

6872646528 is a wasteful number, since it uses less digits than its factorization.

6872646528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 448 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 6872646528 is about 82901.4265739740. The cubic root of 6872646528 is about 1901.2592324750.

The spelling of 6872646528 in words is "six billion, eight hundred seventy-two million, six hundred forty-six thousand, five hundred twenty-eight".