705757328640 has 2880 divisors, whose sum is σ = 3403811389440. Its totient is φ = 135444234240.

The previous prime is 705757328629. The next prime is 705757328641. The reversal of 705757328640 is 46823757507.

It is a happy number.

705757328640 is a `hidden beast` number, since 7 + 0 + 5 + 7 + 573 + 2 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (705757328641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5557144257 + ... + 5557144383.

Almost surely, 2^705757328640 is an apocalyptic number.

705757328640 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 705757328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701905694720).

705757328640 is an abundant number, since it is smaller than the sum of its proper divisors (2698054060800).

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

705757328640 is a wasteful number, since it uses less digits than its factorization.

705757328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 705757328640 in words is "seven hundred five billion, seven hundred fifty-seven million, three hundred twenty-eight thousand, six hundred forty".