704416008739968 has 512 divisors, whose sum is σ = 2471964298444800. Its totient is φ = 193235759861760.

The previous prime is 704416008739943. The next prime is 704416008739979. The reversal of 704416008739968 is 869937800614407.

704416008739968 is a `hidden beast` number, since 7 + 0 + 4 + 4 + 1 + 600 + 8 + 7 + 3 + 9 + 9 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 704416008739896 and 704416008739905.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91545946 + ... + 98941862.

It is an arithmetic number, because the mean of its divisors is an integer number (4828055270400).

Almost surely, 2^{704416008739968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704416008739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235982149222400).

704416008739968 is an abundant number, since it is smaller than the sum of its proper divisors (1767548289704832).

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

704416008739968 is a wasteful number, since it uses less digits than its factorization.

704416008739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396105 (or 7396087 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 704416008739968 in words is "seven hundred four trillion, four hundred sixteen billion, eight million, seven hundred thirty-nine thousand, nine hundred sixty-eight".