706542639137280 has 480 divisors, whose sum is σ = 2669837687719488. Its totient is φ = 171255391027200.

The previous prime is 706542639137267. The next prime is 706542639137323. The reversal of 706542639137280 is 82731936245607.

It is a happy number.

706542639137280 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 4 + 263 + 91 + 3 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590620815 + ... + 1591064945.

It is a 1-persistent number, because it is pandigital, but 2⋅706542639137280 = 1413085278274560 is not.

Almost surely, 2^{706542639137280} 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 706542639137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334918843859744).

706542639137280 is an abundant number, since it is smaller than the sum of its proper divisors (1963295048582208).

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

706542639137280 is a wasteful number, since it uses less digits than its factorization.

706542639137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450448 (or 450429 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 706542639137280 in words is "seven hundred six trillion, five hundred forty-two billion, six hundred thirty-nine million, one hundred thirty-seven thousand, two hundred eighty".