705390326807040 has 640 divisors, whose sum is σ = 2867975986360320. Its totient is φ = 160982803759104.

The previous prime is 705390326806967. The next prime is 705390326807093. The reversal of 705390326807040 is 40708623093507.

705390326807040 is a `hidden beast` number, since 7 + 0 + 53 + 90 + 326 + 80 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311917819 + ... + 314171141.

It is an arithmetic number, because the mean of its divisors is an integer number (4481212478688).

Almost surely, 2^{705390326807040} is an apocalyptic number.

705390326807040 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 705390326807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433987993180160).

705390326807040 is an abundant number, since it is smaller than the sum of its proper divisors (2162585659553280).

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

705390326807040 is a wasteful number, since it uses less digits than its factorization.

705390326807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254009 (or 2253987 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 705390326807040 in words is "seven hundred five trillion, three hundred ninety billion, three hundred twenty-six million, eight hundred seven thousand, forty".