722517148800 has 1344 divisors, whose sum is σ = 2817937973760. Its totient is φ = 182742220800.

The previous prime is 722517148781. The next prime is 722517148807. The reversal of 722517148800 is 8841715227.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722517148807) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 7014729549 + ... + 7014729651.

It is an arithmetic number, because the mean of its divisors is an integer number (2096680040).

Almost surely, 2^722517148800 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 722517148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408968986880).

722517148800 is an abundant number, since it is smaller than the sum of its proper divisors (2095420824960).

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

722517148800 is a wasteful number, since it uses less digits than its factorization.

722517148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 722517148800 in words is "seven hundred twenty-two billion, five hundred seventeen million, one hundred forty-eight thousand, eight hundred".