6704654935680 has 384 divisors, whose sum is σ = 25274503210320. Its totient is φ = 1627767373824.

The previous prime is 6704654935679. The next prime is 6704654935711. The reversal of 6704654935680 is 865394564076.

6704654935680 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 6 + 549 + 3 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1338241766976 + 5366413168704 = 1156824^2 + 2316552^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4852962 + ... + 6079518.

Almost surely, 2^{6704654935680} is an apocalyptic number.

6704654935680 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 6704654935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637251605160).

6704654935680 is an abundant number, since it is smaller than the sum of its proper divisors (18569848274640).

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

6704654935680 is a wasteful number, since it uses less digits than its factorization.

6704654935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226668 (or 1226653 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 6704654935680 in words is "six trillion, seven hundred four billion, six hundred fifty-four million, nine hundred thirty-five thousand, six hundred eighty".