704861375328 has 336 divisors, whose sum is σ = 2284893660672. Its totient is φ = 212168160000.

The previous prime is 704861375327. The next prime is 704861375329. The reversal of 704861375328 is 823573168407.

It is a happy number.

704861375328 is a `hidden beast` number, since 7 + 0 + 48 + 61 + 3 + 7 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (704861375327) and next prime (704861375329).

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 (704861375327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38738713 + ... + 38756903.

It is an arithmetic number, because the mean of its divisors is an integer number (6800278752).

Almost surely, 2^704861375328 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 704861375328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142446830336).

704861375328 is an abundant number, since it is smaller than the sum of its proper divisors (1580032285344).

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

704861375328 is a wasteful number, since it uses less digits than its factorization.

704861375328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18381 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 704861375328 in words is "seven hundred four billion, eight hundred sixty-one million, three hundred seventy-five thousand, three hundred twenty-eight".