721339940901888 has 3168 divisors, whose sum is σ = 2774147956070400. Its totient is φ = 178364016230400.

The previous prime is 721339940901871. The next prime is 721339940901917. The reversal of 721339940901888 is 888109049933127.

721339940901888 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 39 + 9 + 409 + 0 + 188 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1721575037743 + ... + 1721575038161.

Almost surely, 2^{721339940901888} 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 721339940901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387073978035200).

721339940901888 is an abundant number, since it is smaller than the sum of its proper divisors (2052808015168512).

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

721339940901888 is a wasteful number, since it uses less digits than its factorization.

721339940901888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 721339940901888 in words is "seven hundred twenty-one trillion, three hundred thirty-nine billion, nine hundred forty million, nine hundred one thousand, eight hundred eighty-eight".