721813898450304 has 768 divisors, whose sum is σ = 2481334920288000. Its totient is φ = 205701871288320.

The previous prime is 721813898450201. The next prime is 721813898450327. The reversal of 721813898450304 is 403054898318127.

721813898450304 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 1 + 38 + 98 + 4 + 503 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9120797167 + ... + 9120876305.

It is an arithmetic number, because the mean of its divisors is an integer number (3230904844125).

Almost surely, 2^{721813898450304} 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 721813898450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240667460144000).

721813898450304 is an abundant number, since it is smaller than the sum of its proper divisors (1759521021837696).

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

721813898450304 is a wasteful number, since it uses less digits than its factorization.

721813898450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80484 (or 80455 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 721813898450304 in words is "seven hundred twenty-one trillion, eight hundred thirteen billion, eight hundred ninety-eight million, four hundred fifty thousand, three hundred four".