721668960 has 192 divisors, whose sum is σ = 2555582400. Its totient is φ = 190181376.

The previous prime is 721668949. The next prime is 721669007. The reversal of 721668960 is 69866127.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 383542 + ... + 385418.

It is an arithmetic number, because the mean of its divisors is an integer number (13310325).

Almost surely, 2^721668960 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 721668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277791200).

721668960 is an abundant number, since it is smaller than the sum of its proper divisors (1833913440).

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

721668960 is a wasteful number, since it uses less digits than its factorization.

721668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 721668960 is about 26863.8969622801. The cubic root of 721668960 is about 896.9729413209.

It can be divided in two parts, 7216 and 68960, that added together give a square (76176 = 276²).

The spelling of 721668960 in words is "seven hundred twenty-one million, six hundred sixty-eight thousand, nine hundred sixty".