721468800 has 576 divisors, whose sum is σ = 2900439360. Its totient is φ = 169574400.

The previous prime is 721468771. The next prime is 721468801. The reversal of 721468800 is 8864127.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721468801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15350377 + ... + 15350423.

It is an arithmetic number, because the mean of its divisors is an integer number (5035485).

Almost surely, 2^721468800 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 721468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450219680).

721468800 is an abundant number, since it is smaller than the sum of its proper divisors (2178970560).

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

721468800 is a wasteful number, since it uses less digits than its factorization.

721468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 721468800 is about 26860.1712578308. The cubic root of 721468800 is about 896.8900063857.

The spelling of 721468800 in words is "seven hundred twenty-one million, four hundred sixty-eight thousand, eight hundred".