706650946560 has 440 divisors, whose sum is σ = 2727045758976. Its totient is φ = 173943521280.

The previous prime is 706650946553. The next prime is 706650946571. The reversal of 706650946560 is 65649056607.

706650946560 is a `hidden beast` number, since 70 + 6 + 6 + 5 + 0 + 9 + 4 + 6 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 706650946497 and 706650946506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5325825 + ... + 5456895.

Almost surely, 2^706650946560 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 706650946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363522879488).

706650946560 is an abundant number, since it is smaller than the sum of its proper divisors (2020394812416).

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

706650946560 is a wasteful number, since it uses less digits than its factorization.

706650946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131121 (or 131094 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 706650946560 in words is "seven hundred six billion, six hundred fifty million, nine hundred forty-six thousand, five hundred sixty".