6853959664704 has 336 divisors, whose sum is σ = 20677318421760. Its totient is φ = 2250809233920.

The previous prime is 6853959664697. The next prime is 6853959664777. The reversal of 6853959664704 is 4074669593586.

6853959664704 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 95 + 9 + 66 + 470 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 283174267 + ... + 283198469.

It is an arithmetic number, because the mean of its divisors is an integer number (61539638160).

Almost surely, 2^{6853959664704} is an apocalyptic number.

6853959664704 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 6853959664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338659210880).

6853959664704 is an abundant number, since it is smaller than the sum of its proper divisors (13823358757056).

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

6853959664704 is a wasteful number, since it uses less digits than its factorization.

6853959664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24500 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 6853959664704 in words is "six trillion, eight hundred fifty-three billion, nine hundred fifty-nine million, six hundred sixty-four thousand, seven hundred four".