6875904672 has 672 divisors, whose sum is σ = 25913018880. Its totient is φ = 1746800640.

The previous prime is 6875904641. The next prime is 6875904709. The reversal of 6875904672 is 2764095786.

6875904672 is a `hidden beast` number, since 6 + 8 + 7 + 590 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 87036729 + ... + 87036807.

It is an arithmetic number, because the mean of its divisors is an integer number (38561040).

Almost surely, 2^6875904672 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 6875904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956509440).

6875904672 is an abundant number, since it is smaller than the sum of its proper divisors (19037114208).

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

6875904672 is a wasteful number, since it uses less digits than its factorization.

6875904672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6875904672 is about 82921.0749568528. The cubic root of 6875904672 is about 1901.5596309555.

The spelling of 6875904672 in words is "six billion, eight hundred seventy-five million, nine hundred four thousand, six hundred seventy-two".