6884256501960 has 256 divisors, whose sum is σ = 21518787628800. Its totient is φ = 1759780012032.

The previous prime is 6884256501919. The next prime is 6884256501973. The reversal of 6884256501960 is 691056524886.

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 = 6884256501894 and 6884256501903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274555984 + ... + 274581056.

It is an arithmetic number, because the mean of its divisors is an integer number (84057764175).

Almost surely, 2^{6884256501960} is an apocalyptic number.

6884256501960 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 6884256501960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759393814400).

6884256501960 is an abundant number, since it is smaller than the sum of its proper divisors (14634531126840).

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

6884256501960 is a wasteful number, since it uses less digits than its factorization.

6884256501960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25680 (or 25676 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 6884256501960 in words is "six trillion, eight hundred eighty-four billion, two hundred fifty-six million, five hundred one thousand, nine hundred sixty".