701668264032 has 144 divisors (see below), whose sum is σ = 2067436949760. Its totient is φ = 225553821696.

The previous prime is 701668263979. The next prime is 701668264133. The reversal of 701668264032 is 230462866107.

701668264032 is a `hidden beast` number, since 7 + 0 + 166 + 82 + 6 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912769 + ... + 1495487.

It is an arithmetic number, because the mean of its divisors is an integer number (14357201040).

Almost surely, 2^701668264032 is an apocalyptic number.

701668264032 is a gapful number since it is divisible by the number (72) 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 701668264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033718474880).

701668264032 is an abundant number, since it is smaller than the sum of its proper divisors (1365768685728).

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

701668264032 is a wasteful number, since it uses less digits than its factorization.

701668264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582885 (or 582874 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 701668264032 in words is "seven hundred one billion, six hundred sixty-eight million, two hundred sixty-four thousand, thirty-two".