706749822720 has 576 divisors, whose sum is σ = 2583681408000. Its totient is φ = 182809903104.

The previous prime is 706749822719. The next prime is 706749822721. The reversal of 706749822720 is 27228947607.

It is a happy number.

706749822720 is a `hidden beast` number, since 7 + 0 + 67 + 498 + 22 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (706749822719) and next prime (706749822721).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706749822721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561357451 + ... + 561358709.

It is an arithmetic number, because the mean of its divisors is an integer number (4485558000).

Almost surely, 2^706749822720 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 706749822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291840704000).

706749822720 is an abundant number, since it is smaller than the sum of its proper divisors (1876931585280).

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

706749822720 is a wasteful number, since it uses less digits than its factorization.

706749822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 706749822720 in words is "seven hundred six billion, seven hundred forty-nine million, eight hundred twenty-two thousand, seven hundred twenty".