720440602560 has 560 divisors, whose sum is σ = 2965055690400. Its totient is φ = 164667396096.

The previous prime is 720440602543. The next prime is 720440602561. The reversal of 720440602560 is 65206044027.

720440602560 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 40 + 602 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720440602561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20727276 + ... + 20762004.

Almost surely, 2^720440602560 is an apocalyptic number.

720440602560 is a gapful number since it is divisible by the number (70) 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 720440602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482527845200).

720440602560 is an abundant number, since it is smaller than the sum of its proper divisors (2244615087840).

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

720440602560 is an equidigital number, since it uses as much as digits as its factorization.

720440602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34783 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 720440602560 its reverse (65206044027), we get a palindrome (785646646587).

The spelling of 720440602560 in words is "seven hundred twenty billion, four hundred forty million, six hundred two thousand, five hundred sixty".