6782999025664 has 96 divisors (see below), whose sum is σ = 13667351443200. Its totient is φ = 3365414830080.

The previous prime is 6782999025619. The next prime is 6782999025689. The reversal of 6782999025664 is 4665209992876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159966514 + ... + 160008910.

It is an arithmetic number, because the mean of its divisors is an integer number (142368244200).

Almost surely, 2^{6782999025664} is an apocalyptic number.

6782999025664 is a gapful number since it is divisible by the number (64) 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 6782999025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833675721600).

6782999025664 is an abundant number, since it is smaller than the sum of its proper divisors (6884352417536).

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

6782999025664 is a wasteful number, since it uses less digits than its factorization.

6782999025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43019 (or 42999 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 73.

The spelling of 6782999025664 in words is "six trillion, seven hundred eighty-two billion, nine hundred ninety-nine million, twenty-five thousand, six hundred sixty-four".