706468232520 has 192 divisors, whose sum is σ = 2314049886720. Its totient is φ = 186917617152.

The previous prime is 706468232443. The next prime is 706468232531. The reversal of 706468232520 is 25232864607.

706468232520 is a `hidden beast` number, since 7 + 0 + 6 + 46 + 82 + 3 + 2 + 520 = 666.

706468232520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26014069 + ... + 26041211.

It is an arithmetic number, because the mean of its divisors is an integer number (12052343160).

Almost surely, 2^706468232520 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 706468232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157024943360).

706468232520 is an abundant number, since it is smaller than the sum of its proper divisors (1607581654200).

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

706468232520 is a wasteful number, since it uses less digits than its factorization.

706468232520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27724 (or 27717 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 706468232520 in words is "seven hundred six billion, four hundred sixty-eight million, two hundred thirty-two thousand, five hundred twenty".