706433080320 has 1056 divisors, whose sum is σ = 2787414638400. Its totient is φ = 169533112320.

The previous prime is 706433080291. The next prime is 706433080321. The reversal of 706433080320 is 23080334607.

706433080320 is a `hidden beast` number, since 7 + 0 + 643 + 3 + 0 + 8 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706433080321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626145146 + ... + 2626145414.

Almost surely, 2^706433080320 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 706433080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393707319200).

706433080320 is an abundant number, since it is smaller than the sum of its proper divisors (2080981558080).

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

706433080320 is a wasteful number, since it uses less digits than its factorization.

706433080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 706433080320 in words is "seven hundred six billion, four hundred thirty-three million, eighty thousand, three hundred twenty".