720732110192640 has 5760 divisors, whose sum is σ = 3448479640320000. Its totient is φ = 138504642232320.

The previous prime is 720732110192617. The next prime is 720732110192641. The reversal of 720732110192640 is 46291011237027.

720732110192640 is a `hidden beast` number, since 7 + 207 + 3 + 211 + 0 + 192 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720732110192641) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 23249422909425 + ... + 23249422909455.

It is an arithmetic number, because the mean of its divisors is an integer number (598694382000).

Almost surely, 2^{720732110192640} is an apocalyptic number.

720732110192640 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 720732110192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724239820160000).

720732110192640 is an abundant number, since it is smaller than the sum of its proper divisors (2727747530127360).

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

720732110192640 is an equidigital number, since it uses as much as digits as its factorization.

720732110192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 720732110192640 in words is "seven hundred twenty trillion, seven hundred thirty-two billion, one hundred ten million, one hundred ninety-two thousand, six hundred forty".