701868672 has 256 divisors, whose sum is σ = 2203200000. Its totient is φ = 219598848.

The previous prime is 701868659. The next prime is 701868689. The reversal of 701868672 is 276868107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4710454 + ... + 4710602.

It is an arithmetic number, because the mean of its divisors is an integer number (8606250).

Almost surely, 2^701868672 is an apocalyptic number.

701868672 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 701868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600000).

701868672 is an abundant number, since it is smaller than the sum of its proper divisors (1501331328).

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

701868672 is a wasteful number, since it uses less digits than its factorization.

701868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 701868672 is about 26492.8041550909. The cubic root of 701868672 is about 888.6933956009.

The spelling of 701868672 in words is "seven hundred one million, eight hundred sixty-eight thousand, six hundred seventy-two".