705684560160 has 384 divisors, whose sum is σ = 2544523994880. Its totient is φ = 163255025664.

The previous prime is 705684560111. The next prime is 705684560209. The reversal of 705684560160 is 61065486507.

It is an interprime number because it is at equal distance from previous prime (705684560111) and next prime (705684560209).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5674972 + ... + 5797988.

It is an arithmetic number, because the mean of its divisors is an integer number (6626364570).

Almost surely, 2^705684560160 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 705684560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272261997440).

705684560160 is an abundant number, since it is smaller than the sum of its proper divisors (1838839434720).

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

705684560160 is a wasteful number, since it uses less digits than its factorization.

705684560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123108 (or 123100 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 705684560160 in words is "seven hundred five billion, six hundred eighty-four million, five hundred sixty thousand, one hundred sixty".