6886402560 has 240 divisors, whose sum is σ = 25106384160. Its totient is φ = 1739612160.

The previous prime is 6886402547. The next prime is 6886402591. The reversal of 6886402560 is 652046886.

6886402560 is a `hidden beast` number, since 6 + 8 + 86 + 4 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429895 + ... + 445625.

It is an arithmetic number, because the mean of its divisors is an integer number (104609934).

Almost surely, 2^6886402560 is an apocalyptic number.

6886402560 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 6886402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553192080).

6886402560 is an abundant number, since it is smaller than the sum of its proper divisors (18219981600).

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

6886402560 is a wasteful number, since it uses less digits than its factorization.

6886402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15760 counting only the distinct ones).

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

The square root of 6886402560 is about 82984.3512958919. The cubic root of 6886402560 is about 1902.5268835241.

The spelling of 6886402560 in words is "six billion, eight hundred eighty-six million, four hundred two thousand, five hundred sixty".