6720104905344 has 256 divisors, whose sum is σ = 20146898016000. Its totient is φ = 2204762112000.

The previous prime is 6720104905313. The next prime is 6720104905357. The reversal of 6720104905344 is 4435094010276.

6720104905344 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 104 + 9 + 0 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6720104905344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147448192 + ... + 147493760.

It is an arithmetic number, because the mean of its divisors is an integer number (78698820375).

Almost surely, 2^{6720104905344} is an apocalyptic number.

6720104905344 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 6720104905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073449008000).

6720104905344 is an abundant number, since it is smaller than the sum of its proper divisors (13426793110656).

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

6720104905344 is a wasteful number, since it uses less digits than its factorization.

6720104905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46264 (or 46246 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6720104905344 in words is "six trillion, seven hundred twenty billion, one hundred four million, nine hundred five thousand, three hundred forty-four".