721143827712 has 1152 divisors, whose sum is σ = 2748768583680. Its totient is φ = 181080023040.

The previous prime is 721143827653. The next prime is 721143827717. The reversal of 721143827712 is 217728341127.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×721143827712² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721143827717) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3176844943 + ... + 3176845169.

It is an arithmetic number, because the mean of its divisors is an integer number (2386083840).

Almost surely, 2^721143827712 is an apocalyptic number.

721143827712 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 721143827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374384291840).

721143827712 is an abundant number, since it is smaller than the sum of its proper divisors (2027624755968).

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

721143827712 is a wasteful number, since it uses less digits than its factorization.

721143827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 721143827712 in words is "seven hundred twenty-one billion, one hundred forty-three million, eight hundred twenty-seven thousand, seven hundred twelve".