706920255360 has 960 divisors, whose sum is σ = 2792167686000. Its totient is φ = 170311680000.

The previous prime is 706920255343. The next prime is 706920255397. The reversal of 706920255360 is 63552029607.

706920255360 is a `hidden beast` number, since 7 + 0 + 6 + 92 + 0 + 2 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1574432416 + ... + 1574432864.

Almost surely, 2^706920255360 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 706920255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396083843000).

706920255360 is an abundant number, since it is smaller than the sum of its proper divisors (2085247430640).

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

706920255360 is a wasteful number, since it uses less digits than its factorization.

706920255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 706920255360 in words is "seven hundred six billion, nine hundred twenty million, two hundred fifty-five thousand, three hundred sixty".