720745185888 has 1536 divisors, whose sum is σ = 2861236224000. Its totient is φ = 171186462720.

The previous prime is 720745185883. The next prime is 720745185949. The reversal of 720745185888 is 888581547027.

720745185888 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 45 + 1 + 8 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720745185883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5501871583 + ... + 5501871713.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784000).

Almost surely, 2^720745185888 is an apocalyptic number.

720745185888 is a gapful number since it is divisible by the number (78) 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 720745185888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430618112000).

720745185888 is an abundant number, since it is smaller than the sum of its proper divisors (2140491038112).

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

720745185888 is a wasteful number, since it uses less digits than its factorization.

720745185888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 63.

The spelling of 720745185888 in words is "seven hundred twenty billion, seven hundred forty-five million, one hundred eighty-five thousand, eight hundred eighty-eight".