6887682552960 has 768 divisors, whose sum is σ = 26813670174720. Its totient is φ = 1614040473600.

The previous prime is 6887682552953. The next prime is 6887682552997. The reversal of 6887682552960 is 692552867886.

6887682552960 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 6 + 8 + 2 + 552 + 9 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2567155779 + ... + 2567158461.

It is an arithmetic number, because the mean of its divisors is an integer number (34913633040).

Almost surely, 2^{6887682552960} is an apocalyptic number.

6887682552960 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 6887682552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406835087360).

6887682552960 is an abundant number, since it is smaller than the sum of its proper divisors (19925987621760).

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

6887682552960 is a wasteful number, since it uses less digits than its factorization.

6887682552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 6887682552960 in words is "six trillion, eight hundred eighty-seven billion, six hundred eighty-two million, five hundred fifty-two thousand, nine hundred sixty".