721733248512 has 320 divisors, whose sum is σ = 2256263328000. Its totient is φ = 227161718784.

The previous prime is 721733248499. The next prime is 721733248543. The reversal of 721733248512 is 215842337127.

721733248512 is a `hidden beast` number, since 7 + 21 + 73 + 3 + 2 + 48 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82206939 + ... + 82215717.

It is an arithmetic number, because the mean of its divisors is an integer number (7050822900).

Almost surely, 2^721733248512 is an apocalyptic number.

721733248512 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 721733248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128131664000).

721733248512 is an abundant number, since it is smaller than the sum of its proper divisors (1534530079488).

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

721733248512 is a wasteful number, since it uses less digits than its factorization.

721733248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9116 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 721733248512 in words is "seven hundred twenty-one billion, seven hundred thirty-three million, two hundred forty-eight thousand, five hundred twelve".