706791969092160 has 3024 divisors, whose sum is σ = 3032099962884720. Its totient is φ = 150636283822080.

The previous prime is 706791969092119. The next prime is 706791969092197. The reversal of 706791969092160 is 61290969197607.

It is a happy number.

706791969092160 is a `hidden beast` number, since 70 + 6 + 79 + 196 + 90 + 9 + 216 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18514225529856 + 688277743562304 = 4302816^2 + 26235048^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1388589329986 + ... + 1388589330494.

It is an arithmetic number, because the mean of its divisors is an integer number (1002678559155).

Almost surely, 2^{706791969092160} is an apocalyptic number.

706791969092160 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 706791969092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516049981442360).

706791969092160 is an abundant number, since it is smaller than the sum of its proper divisors (2325307993792560).

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

706791969092160 is a wasteful number, since it uses less digits than its factorization.

706791969092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 706791969092160 in words is "seven hundred six trillion, seven hundred ninety-one billion, nine hundred sixty-nine million, ninety-two thousand, one hundred sixty".