705945938220 has 768 divisors, whose sum is σ = 2547940147200. Its totient is φ = 161083883520.

The previous prime is 705945938209. The next prime is 705945938231. The reversal of 705945938220 is 22839549507.

It is an interprime number because it is at equal distance from previous prime (705945938209) and next prime (705945938231).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 740761264 + ... + 740762216.

It is an arithmetic number, because the mean of its divisors is an integer number (3317630400).

Almost surely, 2^705945938220 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 705945938220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273970073600).

705945938220 is an abundant number, since it is smaller than the sum of its proper divisors (1841994208980).

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

705945938220 is a wasteful number, since it uses less digits than its factorization.

705945938220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 705945938220 in words is "seven hundred five billion, nine hundred forty-five million, nine hundred thirty-eight thousand, two hundred twenty".