704634676704 has 288 divisors, whose sum is σ = 2413678176000. Its totient is φ = 190484047872.

The previous prime is 704634676643. The next prime is 704634676709. The reversal of 704634676704 is 407676436407.

704634676704 is a `hidden beast` number, since 7 + 0 + 463 + 46 + 76 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×704634676704² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704634676709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30976567 + ... + 30999305.

It is an arithmetic number, because the mean of its divisors is an integer number (8380827000).

Almost surely, 2^704634676704 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 704634676704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206839088000).

704634676704 is an abundant number, since it is smaller than the sum of its proper divisors (1709043499296).

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

704634676704 is a wasteful number, since it uses less digits than its factorization.

704634676704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23590 (or 23579 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 704634676704 in words is "seven hundred four billion, six hundred thirty-four million, six hundred seventy-six thousand, seven hundred four".