706845709440 has 768 divisors, whose sum is σ = 2869563715200. Its totient is φ = 164826316800.

The previous prime is 706845709399. The next prime is 706845709517. The reversal of 706845709440 is 44907548607.

706845709440 is a `hidden beast` number, since 7 + 0 + 68 + 4 + 570 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×706845709440² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38404240 + ... + 38422640.

Almost surely, 2^706845709440 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 706845709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434781857600).

706845709440 is an abundant number, since it is smaller than the sum of its proper divisors (2162718005760).

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

706845709440 is a wasteful number, since it uses less digits than its factorization.

706845709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18467 (or 18443 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 706845709440 in words is "seven hundred six billion, eight hundred forty-five million, seven hundred nine thousand, four hundred forty".