705440120832 has 432 divisors, whose sum is σ = 2234056046040. Its totient is φ = 213506850816.

The previous prime is 705440120797. The next prime is 705440120897. The reversal of 705440120832 is 238021044507.

It is a happy number.

705440120832 is a `hidden beast` number, since 7 + 0 + 5 + 440 + 1 + 208 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 528959471616 + 176480649216 = 727296^2 + 420096^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581565858 + ... + 581567070.

Almost surely, 2^705440120832 is an apocalyptic number.

705440120832 is a gapful number since it is divisible by the number (72) 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 705440120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117028023020).

705440120832 is an abundant number, since it is smaller than the sum of its proper divisors (1528615925208).

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

705440120832 is a wasteful number, since it uses less digits than its factorization.

705440120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 705440120832 in words is "seven hundred five billion, four hundred forty million, one hundred twenty thousand, eight hundred thirty-two".