6704635374720 has 768 divisors, whose sum is σ = 25080727351680. Its totient is φ = 1644085248000.

The previous prime is 6704635374691. The next prime is 6704635374739. The reversal of 6704635374720 is 274735364076.

6704635374720 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 63 + 537 + 47 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1302627187 + ... + 1302632333.

Almost surely, 2^{6704635374720} is an apocalyptic number.

6704635374720 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 6704635374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540363675840).

6704635374720 is an abundant number, since it is smaller than the sum of its proper divisors (18376091976960).

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

6704635374720 is a wasteful number, since it uses less digits than its factorization.

6704635374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 6704635374720 in words is "six trillion, seven hundred four billion, six hundred thirty-five million, three hundred seventy-four thousand, seven hundred twenty".