720113436000 has 768 divisors, whose sum is σ = 3025652797440. Its totient is φ = 162950400000.

The previous prime is 720113435947. The next prime is 720113436019. The reversal of 720113436000 is 634311027.

720113436000 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 13 + 43 + 600 + 0 = 666.

It is a super-3 number, since 3×720113436000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76351285 + ... + 76360715.

It is an arithmetic number, because the mean of its divisors is an integer number (3939652080).

Almost surely, 2^720113436000 is an apocalyptic number.

720113436000 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 720113436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512826398720).

720113436000 is an abundant number, since it is smaller than the sum of its proper divisors (2305539361440).

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

720113436000 is a wasteful number, since it uses less digits than its factorization.

720113436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 720113436000 its reverse (634311027), we get a palindrome (720747747027).

The spelling of 720113436000 in words is "seven hundred twenty billion, one hundred thirteen million, four hundred thirty-six thousand".