705275749824 has 112 divisors (see below), whose sum is σ = 1927067434656. Its totient is φ = 227473920000.

The previous prime is 705275749819. The next prime is 705275749877. The reversal of 705275749824 is 428947572507.

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 15 ways as a sum of consecutive naturals, for example, 1011574 + ... + 1560074.

It is an arithmetic number, because the mean of its divisors is an integer number (17205959238).

Almost surely, 2^705275749824 is an apocalyptic number.

705275749824 is a gapful number since it is divisible by the number (74) 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 705275749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963533717328).

705275749824 is an abundant number, since it is smaller than the sum of its proper divisors (1221791684832).

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

705275749824 is a wasteful number, since it uses less digits than its factorization.

705275749824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548734 (or 548724 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 705275749824 in words is "seven hundred five billion, two hundred seventy-five million, seven hundred forty-nine thousand, eight hundred twenty-four".