705749789920 has 192 divisors, whose sum is σ = 1922403926016. Its totient is φ = 239831746560.

The previous prime is 705749789909. The next prime is 705749789957. The reversal of 705749789920 is 29987947507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209233354 + ... + 209236726.

It is an arithmetic number, because the mean of its divisors is an integer number (10012520448).

Almost surely, 2^705749789920 is an apocalyptic number.

705749789920 is a gapful number since it is divisible by the number (70) 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 705749789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961201963008).

705749789920 is an abundant number, since it is smaller than the sum of its proper divisors (1216654136096).

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

705749789920 is a wasteful number, since it uses less digits than its factorization.

705749789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 67.

It can be divided in two parts, 7057497 and 89920, that added together give a palindrome (7147417).

The spelling of 705749789920 in words is "seven hundred five billion, seven hundred forty-nine million, seven hundred eighty-nine thousand, nine hundred twenty".