6881888396760 has 256 divisors, whose sum is σ = 23032574208000. Its totient is φ = 1633306859520.

The previous prime is 6881888396689. The next prime is 6881888396827. The reversal of 6881888396760 is 676938881886.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32421775 + ... + 32633345.

It is an arithmetic number, because the mean of its divisors is an integer number (89970993000).

Almost surely, 2^{6881888396760} is an apocalyptic number.

6881888396760 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 6881888396760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516287104000).

6881888396760 is an abundant number, since it is smaller than the sum of its proper divisors (16150685811240).

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

6881888396760 is a wasteful number, since it uses less digits than its factorization.

6881888396760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212346 (or 212342 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 78.

The spelling of 6881888396760 in words is "six trillion, eight hundred eighty-one billion, eight hundred eighty-eight million, three hundred ninety-six thousand, seven hundred sixty".