705742084329984 has 1920 divisors, whose sum is σ = 2356863811061760. Its totient is φ = 201747411763200.

The previous prime is 705742084329949. The next prime is 705742084330027. The reversal of 705742084329984 is 489923480247507.

It is a happy number.

705742084329984 is a `hidden beast` number, since 7 + 0 + 5 + 7 + 4 + 20 + 8 + 432 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2298834150759 + ... + 2298834151065.

It is an arithmetic number, because the mean of its divisors is an integer number (1227533234928).

Almost surely, 2^{705742084329984} 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 705742084329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178431905530880).

705742084329984 is an abundant number, since it is smaller than the sum of its proper divisors (1651121726731776).

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

705742084329984 is a wasteful number, since it uses less digits than its factorization.

705742084329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 705742084329984 in words is "seven hundred five trillion, seven hundred forty-two billion, eighty-four million, three hundred twenty-nine thousand, nine hundred eighty-four".