705339302040 has 192 divisors, whose sum is σ = 2442077164800. Its totient is φ = 176043960576.

The previous prime is 705339302027. The next prime is 705339302047. The reversal of 705339302040 is 40203933507.

705339302040 is a `hidden beast` number, since 70 + 533 + 9 + 30 + 20 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 705339301986 and 705339302004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705339302047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53484 + ... + 1188923.

It is an arithmetic number, because the mean of its divisors is an integer number (12719151900).

Almost surely, 2^705339302040 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 705339302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221038582400).

705339302040 is an abundant number, since it is smaller than the sum of its proper divisors (1736737862760).

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

705339302040 is a wasteful number, since it uses less digits than its factorization.

705339302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242526 (or 1242519 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 705339302040 in words is "seven hundred five billion, three hundred thirty-nine million, three hundred two thousand, forty".