704828700576 has 2304 divisors, whose sum is σ = 3029789048832. Its totient is φ = 155196518400.

The previous prime is 704828700571. The next prime is 704828700601. The reversal of 704828700576 is 675007828407.

It is a happy number.

704828700576 is a `hidden beast` number, since 7 + 0 + 48 + 28 + 7 + 0 + 0 + 576 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (704828700571) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5549832225 + ... + 5549832351.

It is an arithmetic number, because the mean of its divisors is an integer number (1315012608).

Almost surely, 2^704828700576 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 704828700576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514894524416).

704828700576 is an abundant number, since it is smaller than the sum of its proper divisors (2324960348256).

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

704828700576 is a wasteful number, since it uses less digits than its factorization.

704828700576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 704828700576 in words is "seven hundred four billion, eight hundred twenty-eight million, seven hundred thousand, five hundred seventy-six".