721408810752 has 216 divisors, whose sum is σ = 2459114243040. Its totient is φ = 199009198080.

The previous prime is 721408810739. The next prime is 721408810769. The reversal of 721408810752 is 257018804127.

It is a super-2 number, since 2×721408810752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 721408810698 and 721408810707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303499 + ... + 1238922.

Almost surely, 2^721408810752 is an apocalyptic number.

721408810752 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 721408810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229557121520).

721408810752 is an abundant number, since it is smaller than the sum of its proper divisors (1737705432288).

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

721408810752 is a wasteful number, since it uses less digits than its factorization.

721408810752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542479 (or 1542462 counting only the distinct ones).

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

The spelling of 721408810752 in words is "seven hundred twenty-one billion, four hundred eight million, eight hundred ten thousand, seven hundred fifty-two".