704742944256 has 400 divisors, whose sum is σ = 2271913182000. Its totient is φ = 216209129472.

The previous prime is 704742944251. The next prime is 704742944267. The reversal of 704742944256 is 652449247407.

704742944256 is a `hidden beast` number, since 70 + 47 + 42 + 9 + 442 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704742944251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204330820 + ... + 204334268.

It is an arithmetic number, because the mean of its divisors is an integer number (5679782955).

Almost surely, 2^704742944256 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 704742944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135956591000).

704742944256 is an abundant number, since it is smaller than the sum of its proper divisors (1567170237744).

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

704742944256 is a wasteful number, since it uses less digits than its factorization.

704742944256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 704742944256 in words is "seven hundred four billion, seven hundred forty-two million, nine hundred forty-four thousand, two hundred fifty-six".