6886425600 has 594 divisors, whose sum is σ = 26228174154. Its totient is φ = 1791590400.

The previous prime is 6886425599. The next prime is 6886425613. The reversal of 6886425600 is 65246886.

6886425600 is a `hidden beast` number, since 6 + 8 + 86 + 4 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 6879707136 = 2592^2 + 82944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 167961580 + ... + 167961620.

Almost surely, 2^6886425600 is an apocalyptic number.

6886425600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6886425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114087077).

6886425600 is an abundant number, since it is smaller than the sum of its proper divisors (19341748554).

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

6886425600 is an frugal number, since it uses more digits than its factorization.

6886425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6886425600 is about 82984.4901171297. The cubic root of 6886425600 is about 1902.5290052981.

The spelling of 6886425600 in words is "six billion, eight hundred eighty-six million, four hundred twenty-five thousand, six hundred".