6713079496704 has 640 divisors, whose sum is σ = 23359231104000. Its totient is φ = 1865165045760.

The previous prime is 6713079496699. The next prime is 6713079496787. The reversal of 6713079496704 is 4076949703176.

6713079496704 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 0 + 79 + 496 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3666345069 + ... + 3666346899.

It is an arithmetic number, because the mean of its divisors is an integer number (36498798600).

Almost surely, 2^{6713079496704} is an apocalyptic number.

6713079496704 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 6713079496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679615552000).

6713079496704 is an abundant number, since it is smaller than the sum of its proper divisors (16646151607296).

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

6713079496704 is an frugal number, since it uses more digits than its factorization.

6713079496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 6713079496704 in words is "six trillion, seven hundred thirteen billion, seventy-nine million, four hundred ninety-six thousand, seven hundred four".