721373672448000 has 8064 divisors, whose sum is σ = 3395120252509440. Its totient is φ = 151353556992000.

The previous prime is 721373672447917. The next prime is 721373672448049. The reversal of 721373672448000 is 844276373127.

721373672448000 is a `hidden beast` number, since 7 + 2 + 1 + 37 + 367 + 244 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×721373672448000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 575 ways as a sum of consecutive naturals, for example, 7436841983952 + ... + 7436841984048.

It is an arithmetic number, because the mean of its divisors is an integer number (421021856710).

Almost surely, 2^{721373672448000} 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 721373672448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697560126254720).

721373672448000 is an abundant number, since it is smaller than the sum of its proper divisors (2673746580061440).

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

721373672448000 is a wasteful number, since it uses less digits than its factorization.

721373672448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 721373672448000 in words is "seven hundred twenty-one trillion, three hundred seventy-three billion, six hundred seventy-two million, four hundred forty-eight thousand".