705674793285696 has 1344 divisors, whose sum is σ = 2290412818907136. Its totient is φ = 190029514752000.

The previous prime is 705674793285653. The next prime is 705674793285731. The reversal of 705674793285696 is 696582397476507.

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, 486336865771 + ... + 486336867221.

It is an arithmetic number, because the mean of its divisors is an integer number (1704176204544).

Almost surely, 2^{705674793285696} is an apocalyptic number.

705674793285696 is a gapful number since it is divisible by the number (76) 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 705674793285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145206409453568).

705674793285696 is an abundant number, since it is smaller than the sum of its proper divisors (1584738025621440).

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

705674793285696 is a wasteful number, since it uses less digits than its factorization.

705674793285696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 28805414400, while the sum is 84.

The spelling of 705674793285696 in words is "seven hundred five trillion, six hundred seventy-four billion, seven hundred ninety-three million, two hundred eighty-five thousand, six hundred ninety-six".