706122930240 has 3136 divisors, whose sum is σ = 3402890588160. Its totient is φ = 135444234240.

The previous prime is 706122930229. The next prime is 706122930311. The reversal of 706122930240 is 42039221607.

706122930240 is a `hidden beast` number, since 7 + 0 + 612 + 2 + 9 + 30 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×706122930240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 706122930195 and 706122930204.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 19084403502 + ... + 19084403538.

Almost surely, 2^706122930240 is an apocalyptic number.

706122930240 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 706122930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701445294080).

706122930240 is an abundant number, since it is smaller than the sum of its proper divisors (2696767657920).

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

706122930240 is a wasteful number, since it uses less digits than its factorization.

706122930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 706122930240 in words is "seven hundred six billion, one hundred twenty-two million, nine hundred thirty thousand, two hundred forty".