706225556736 has 1296 divisors, whose sum is σ = 2679395060160. Its totient is φ = 177248010240.

The previous prime is 706225556731. The next prime is 706225556749. The reversal of 706225556736 is 637655522607.

706225556736 is a `hidden beast` number, since 7 + 0 + 6 + 22 + 55 + 567 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706225556731) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3901798566 + ... + 3901798746.

It is an arithmetic number, because the mean of its divisors is an integer number (2067434460).

Almost surely, 2^706225556736 is an apocalyptic number.

706225556736 is a gapful number since it is divisible by the number (76) 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 706225556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339697530080).

706225556736 is an abundant number, since it is smaller than the sum of its proper divisors (1973169503424).

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

706225556736 is a wasteful number, since it uses less digits than its factorization.

706225556736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 706225556736 in words is "seven hundred six billion, two hundred twenty-five million, five hundred fifty-six thousand, seven hundred thirty-six".