720460084032 has 448 divisors, whose sum is σ = 2361775718400. Its totient is φ = 213868615680.

The previous prime is 720460084007. The next prime is 720460084117. The reversal of 720460084032 is 230480064027.

720460084032 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 600 + 8 + 40 + 3 + 2 = 666.

720460084032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255571519 + ... + 255574337.

It is an arithmetic number, because the mean of its divisors is an integer number (5271820800).

Almost surely, 2^720460084032 is an apocalyptic number.

720460084032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720460084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180887859200).

720460084032 is an abundant number, since it is smaller than the sum of its proper divisors (1641315634368).

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

720460084032 is a wasteful number, since it uses less digits than its factorization.

720460084032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 720460084032 in words is "seven hundred twenty billion, four hundred sixty million, eighty-four thousand, thirty-two".