201744720613320 has 256 divisors, whose sum is σ = 612170872750080. Its totient is φ = 53183702016000.

The previous prime is 201744720613313. The next prime is 201744720613333. The reversal of 201744720613320 is 23316027447102.

It is a super-2 number, since 2×201744720613320² (a number of 29 digits) contains 22 as substring.

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, 40863825892 + ... + 40863830828.

It is an arithmetic number, because the mean of its divisors is an integer number (2391292471680).

Almost surely, 2^{201744720613320} is an apocalyptic number.

201744720613320 is a gapful number since it is divisible by the number (20) 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 201744720613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306085436375040).

201744720613320 is an abundant number, since it is smaller than the sum of its proper divisors (410426152136760).

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

201744720613320 is a wasteful number, since it uses less digits than its factorization.

201744720613320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9576 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 201744720613320 in words is "two hundred one trillion, seven hundred forty-four billion, seven hundred twenty million, six hundred thirteen thousand, three hundred twenty".