6928975872 has 768 divisors, whose sum is σ = 27078105600. Its totient is φ = 1719926784.

The previous prime is 6928975849. The next prime is 6928975901. The reversal of 6928975872 is 2785798296.

It is a tau number, because it is divible by the number of its divisors (768).

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

Its product of digits (30481920) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407586808 + ... + 407586824.

It is an arithmetic number, because the mean of its divisors is an integer number (35257950).

Almost surely, 2^6928975872 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 6928975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539052800).

6928975872 is an abundant number, since it is smaller than the sum of its proper divisors (20149129728).

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

6928975872 is an equidigital number, since it uses as much as digits as its factorization.

6928975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 6928975872 is about 83240.4701572498. The cubic root of 6928975872 is about 1906.4394502142.

It can be divided in two parts, 69289 and 75872, that added together give a square (145161 = 381²).

The spelling of 6928975872 in words is "six billion, nine hundred twenty-eight million, nine hundred seventy-five thousand, eight hundred seventy-two".