6877109621760 has 352 divisors, whose sum is σ = 25482681023232. Its totient is φ = 1550375976960.

The previous prime is 6877109621747. The next prime is 6877109621827. The reversal of 6877109621760 is 671269017786.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6877109621694 and 6877109621703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7410870 + ... + 8287050.

Almost surely, 2^{6877109621760} is an apocalyptic number.

6877109621760 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 6877109621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741340511616).

6877109621760 is an abundant number, since it is smaller than the sum of its proper divisors (18605571401472).

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

6877109621760 is a wasteful number, since it uses less digits than its factorization.

6877109621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876289 (or 876271 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 6877109621760 in words is "six trillion, eight hundred seventy-seven billion, one hundred nine million, six hundred twenty-one thousand, seven hundred sixty".