704640384000 has 2640 divisors, whose sum is σ = 3259600549920. Its totient is φ = 150493593600.

The previous prime is 704640383963. The next prime is 704640384079. The reversal of 704640384000 is 483046407.

704640384000 is a `hidden beast` number, since 7 + 0 + 4 + 640 + 3 + 8 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9652607964 + ... + 9652608036.

It is an arithmetic number, because the mean of its divisors is an integer number (1234697178).

Almost surely, 2^704640384000 is an apocalyptic number.

704640384000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704640384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629800274960).

704640384000 is an abundant number, since it is smaller than the sum of its proper divisors (2554960165920).

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

704640384000 is a wasteful number, since it uses less digits than its factorization.

704640384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 704640384000 in words is "seven hundred four billion, six hundred forty million, three hundred eighty-four thousand".