706261796352 has 1440 divisors, whose sum is σ = 2640754980864. Its totient is φ = 180530380800.

The previous prime is 706261796341. The next prime is 706261796371. The reversal of 706261796352 is 253697162607.

706261796352 is a `hidden beast` number, since 7 + 0 + 626 + 1 + 7 + 9 + 6 + 3 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6600577483 + ... + 6600577589.

Almost surely, 2^706261796352 is an apocalyptic number.

706261796352 is a gapful number since it is divisible by the number (72) 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 706261796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320377490432).

706261796352 is an abundant number, since it is smaller than the sum of its proper divisors (1934493184512).

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

706261796352 is a wasteful number, since it uses less digits than its factorization.

706261796352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 706261796352 in words is "seven hundred six billion, two hundred sixty-one million, seven hundred ninety-six thousand, three hundred fifty-two".