705115985940 has 144 divisors (see below), whose sum is σ = 2232921600000. Its totient is φ = 179768945664.

The previous prime is 705115985921. The next prime is 705115985953. The reversal of 705115985940 is 49589511507.

It is a happy number.

705115985940 is a `hidden beast` number, since 7 + 0 + 5 + 1 + 1 + 598 + 5 + 9 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8774061 + ... + 8854059.

It is an arithmetic number, because the mean of its divisors is an integer number (15506400000).

Almost surely, 2^705115985940 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 705115985940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116460800000).

705115985940 is an abundant number, since it is smaller than the sum of its proper divisors (1527805614060).

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

705115985940 is a wasteful number, since it uses less digits than its factorization.

705115985940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82166 (or 82161 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 705115985940 in words is "seven hundred five billion, one hundred fifteen million, nine hundred eighty-five thousand, nine hundred forty".