705438720000 has 1400 divisors, whose sum is σ = 3022105691616. Its totient is φ = 161243136000.

The previous prime is 705438719963. The next prime is 705438720001. The reversal of 705438720000 is 27834507.

705438720000 is a `hidden beast` number, since 70 + 5 + 4 + 387 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

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

It is not an unprimeable number, because it can be changed into a prime (705438720001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 100776959997 + ... + 100776960003.

Almost surely, 2^705438720000 is an apocalyptic number.

705438720000 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 705438720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511052845808).

705438720000 is an abundant number, since it is smaller than the sum of its proper divisors (2316666971616).

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

705438720000 is an frugal number, since it uses more digits than its factorization.

705438720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

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

The spelling of 705438720000 in words is "seven hundred five billion, four hundred thirty-eight million, seven hundred twenty thousand".