704974893165504 has 1120 divisors, whose sum is σ = 2391266759540736. Its totient is φ = 203830404341760.

The previous prime is 704974893165481. The next prime is 704974893165533. The reversal of 704974893165504 is 405561398479407.

704974893165504 is a `hidden beast` number, since 7 + 0 + 4 + 9 + 7 + 4 + 89 + 31 + 6 + 5 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12470120022 + ... + 12470176554.

Almost surely, 2^{704974893165504} 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 704974893165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195633379770368).

704974893165504 is an abundant number, since it is smaller than the sum of its proper divisors (1686291866375232).

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

704974893165504 is a wasteful number, since it uses less digits than its factorization.

704974893165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56775 (or 56756 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 704974893165504 in words is "seven hundred four trillion, nine hundred seventy-four billion, eight hundred ninety-three million, one hundred sixty-five thousand, five hundred four".