704575228896 has 1620 divisors, whose sum is σ = 2818300915584. Its totient is φ = 172009474560.

The previous prime is 704575228891. The next prime is 704575228901. The reversal of 704575228896 is 698822575407.

704575228896 is a `hidden beast` number, since 70 + 457 + 5 + 2 + 28 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (704575228891) and next prime (704575228901).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

704575228896 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704575228891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 5547836385 + ... + 5547836511.

Almost surely, 2^704575228896 is an apocalyptic number.

704575228896 is a gapful number since it is divisible by the number (76) 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 704575228896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409150457792).

704575228896 is an abundant number, since it is smaller than the sum of its proper divisors (2113725686688).

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

704575228896 is a wasteful number, since it uses less digits than its factorization.

704575228896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 704575228896 in words is "seven hundred four billion, five hundred seventy-five million, two hundred twenty-eight thousand, eight hundred ninety-six".