705464847360 has 2464 divisors, whose sum is σ = 3271644966912. Its totient is φ = 141893959680.

The previous prime is 705464847323. The next prime is 705464847377. The reversal of 705464847360 is 63748464507.

705464847360 is a `hidden beast` number, since 7 + 0 + 54 + 64 + 8 + 473 + 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 = 705464847297 and 705464847306.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10529326047 + ... + 10529326113.

Almost surely, 2^705464847360 is an apocalyptic number.

705464847360 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 705464847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635822483456).

705464847360 is an abundant number, since it is smaller than the sum of its proper divisors (2566180119552).

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

705464847360 is a wasteful number, since it uses less digits than its factorization.

705464847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 705464847360 in words is "seven hundred five billion, four hundred sixty-four million, eight hundred forty-seven thousand, three hundred sixty".