705220029696 has 1080 divisors, whose sum is σ = 2481000135936. Its totient is φ = 177526702080.

The previous prime is 705220029677. The next prime is 705220029697. The reversal of 705220029696 is 696920022507.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705220029697) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9660548316 + ... + 9660548388.

Almost surely, 2^705220029696 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 705220029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240500067968).

705220029696 is an abundant number, since it is smaller than the sum of its proper divisors (1775780106240).

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

705220029696 is an equidigital number, since it uses as much as digits as its factorization.

705220029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 705220029696 in words is "seven hundred five billion, two hundred twenty million, twenty-nine thousand, six hundred ninety-six".