720181440 has 336 divisors, whose sum is σ = 2738810880. Its totient is φ = 172247040.

The previous prime is 720181439. The next prime is 720181457. The reversal of 720181440 is 44181027.

It is a super-2 number, since 2×720181440² = 1037322613040947200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4023271 + ... + 4023449.

Almost surely, 2^720181440 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 720181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369405440).

720181440 is an abundant number, since it is smaller than the sum of its proper divisors (2018629440).

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

720181440 is a wasteful number, since it uses less digits than its factorization.

720181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 720181440 is about 26836.1964518074. The cubic root of 720181440 is about 896.3562305879.

The spelling of 720181440 in words is "seven hundred twenty million, one hundred eighty-one thousand, four hundred forty".