705339048960 has 2112 divisors, whose sum is σ = 3279706675200. Its totient is φ = 140365135872.

The previous prime is 705339048859. The next prime is 705339048989. The reversal of 705339048960 is 69840933507.

705339048960 is a `hidden beast` number, since 7 + 0 + 533 + 9 + 0 + 48 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 705339048897 and 705339048906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3107220367 + ... + 3107220593.

Almost surely, 2^705339048960 is an apocalyptic number.

705339048960 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 705339048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639853337600).

705339048960 is an abundant number, since it is smaller than the sum of its proper divisors (2574367626240).

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

705339048960 is a wasteful number, since it uses less digits than its factorization.

705339048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 705339048960 in words is "seven hundred five billion, three hundred thirty-nine million, forty-eight thousand, nine hundred sixty".