705126956728320 has 2720 divisors, whose sum is σ = 2991296490019200. Its totient is φ = 158814217175040.

The previous prime is 705126956728303. The next prime is 705126956728351. The reversal of 705126956728320 is 23827659621507.

705126956728320 is a `hidden beast` number, since 7 + 0 + 5 + 1 + 2 + 69 + 567 + 2 + 8 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 664587140590 + ... + 664587141650.

Almost surely, 2^{705126956728320} is an apocalyptic number.

705126956728320 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 705126956728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495648245009600).

705126956728320 is an abundant number, since it is smaller than the sum of its proper divisors (2286169533290880).

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

705126956728320 is an frugal number, since it uses more digits than its factorization.

705126956728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 705126956728320 in words is "seven hundred five trillion, one hundred twenty-six billion, nine hundred fifty-six million, seven hundred twenty-eight thousand, three hundred twenty".