706501008822960 has 640 divisors, whose sum is σ = 2705472169532160. Its totient is φ = 168330954276864.

The previous prime is 706501008822953. The next prime is 706501008822967. The reversal of 706501008822960 is 69228800105607.

706501008822960 is a `hidden beast` number, since 70 + 6 + 501 + 0 + 0 + 8 + 8 + 2 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (706501008822953) and next prime (706501008822967).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 706501008822897 and 706501008822906.

It is not an unprimeable number, because it can be changed into a prime (706501008822967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198757602 + ... + 202280958.

It is an arithmetic number, because the mean of its divisors is an integer number (4227300264894).

Almost surely, 2^{706501008822960} 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 706501008822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352736084766080).

706501008822960 is an abundant number, since it is smaller than the sum of its proper divisors (1998971160709200).

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

706501008822960 is a wasteful number, since it uses less digits than its factorization.

706501008822960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523622 (or 3523610 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 706501008822960 in words is "seven hundred six trillion, five hundred one billion, eight million, eight hundred twenty-two thousand, nine hundred sixty".