706130808177060 has 864 divisors, whose sum is σ = 2649698417882880. Its totient is φ = 151344039168000.

The previous prime is 706130808177017. The next prime is 706130808177061. The reversal of 706130808177060 is 60771808031607.

706130808177060 is a `hidden beast` number, since 7 + 0 + 613 + 0 + 8 + 0 + 8 + 17 + 7 + 0 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 706130808176988 and 706130808177006.

It is not an unprimeable number, because it can be changed into a prime (706130808177061) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7009318290 + ... + 7009419030.

Almost surely, 2^{706130808177060} is an apocalyptic number.

706130808177060 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 706130808177060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324849208941440).

706130808177060 is an abundant number, since it is smaller than the sum of its proper divisors (1943567609705820).

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

706130808177060 is a wasteful number, since it uses less digits than its factorization.

706130808177060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101217 (or 101205 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 706130808177060 in words is "seven hundred six trillion, one hundred thirty billion, eight hundred eight million, one hundred seventy-seven thousand, sixty".