721501458048 has 480 divisors, whose sum is σ = 2540176135200. Its totient is φ = 202640901120.

The previous prime is 721501458047. The next prime is 721501458079. The reversal of 721501458048 is 840854105127.

721501458048 is a `hidden beast` number, since 7 + 2 + 1 + 50 + 14 + 580 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 721501457994 and 721501458012.

It is not an unprimeable number, because it can be changed into a prime (721501458047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29961853 + ... + 29985923.

It is an arithmetic number, because the mean of its divisors is an integer number (5292033615).

Almost surely, 2^721501458048 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 721501458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270088067600).

721501458048 is an abundant number, since it is smaller than the sum of its proper divisors (1818674677152).

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

721501458048 is a wasteful number, since it uses less digits than its factorization.

721501458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 721501458048 in words is "seven hundred twenty-one billion, five hundred one million, four hundred fifty-eight thousand, forty-eight".