705002728320 has 512 divisors, whose sum is σ = 2727238464000. Its totient is φ = 170698752000.

The previous prime is 705002728289. The next prime is 705002728343. The reversal of 705002728320 is 23827200507.

It is a happy number.

705002728320 is a `hidden beast` number, since 7 + 0 + 500 + 2 + 72 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 199772316 + ... + 199775844.

It is an arithmetic number, because the mean of its divisors is an integer number (5326637625).

Almost surely, 2^705002728320 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 705002728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363619232000).

705002728320 is an abundant number, since it is smaller than the sum of its proper divisors (2022235735680).

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

705002728320 is a wasteful number, since it uses less digits than its factorization.

705002728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 705002728320 its reverse (23827200507), we get a palindrome (728829928827).

The spelling of 705002728320 in words is "seven hundred five billion, two million, seven hundred twenty-eight thousand, three hundred twenty".