6887787136560 has 1280 divisors, whose sum is σ = 26881022361600. Its totient is φ = 1606781030400.

The previous prime is 6887787136457. The next prime is 6887787136609. The reversal of 6887787136560 is 656317877886.

6887787136560 is a `hidden beast` number, since 68 + 8 + 77 + 87 + 1 + 365 + 60 = 666.

It is a super-2 number, since 2×6887787136560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28819192921 + ... + 28819193159.

It is an arithmetic number, because the mean of its divisors is an integer number (21000798720).

Almost surely, 2^{6887787136560} is an apocalyptic number.

6887787136560 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 6887787136560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440511180800).

6887787136560 is an abundant number, since it is smaller than the sum of its proper divisors (19993235225040).

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

6887787136560 is a wasteful number, since it uses less digits than its factorization.

6887787136560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 6887787136560 in words is "six trillion, eight hundred eighty-seven billion, seven hundred eighty-seven million, one hundred thirty-six thousand, five hundred sixty".