705427107840 has 1040 divisors, whose sum is σ = 3113008291008. Its totient is φ = 148805517312.

The previous prime is 705427107829. The next prime is 705427107877. The reversal of 705427107840 is 48701724507.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150955744 + ... + 150960416.

Almost surely, 2^705427107840 is an apocalyptic number.

705427107840 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 705427107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556504145504).

705427107840 is an abundant number, since it is smaller than the sum of its proper divisors (2407581183168).

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

705427107840 is a wasteful number, since it uses less digits than its factorization.

705427107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 705427107840 in words is "seven hundred five billion, four hundred twenty-seven million, one hundred seven thousand, eight hundred forty".