201740091264 has 256 divisors, whose sum is σ = 633992832000. Its totient is φ = 62934147072.

The previous prime is 201740091229. The next prime is 201740091299. The reversal of 201740091264 is 462190047102.

It is a happy number.

201740091264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201740091229) and next prime (201740091299).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10507017 + ... + 10526199.

It is an arithmetic number, because the mean of its divisors is an integer number (2476534500).

Almost surely, 2^201740091264 is an apocalyptic number.

201740091264 is a gapful number since it is divisible by the number (24) 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 201740091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316996416000).

201740091264 is an abundant number, since it is smaller than the sum of its proper divisors (432252740736).

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

201740091264 is a wasteful number, since it uses less digits than its factorization.

201740091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402 (or 19384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 201740091264 in words is "two hundred one billion, seven hundred forty million, ninety-one thousand, two hundred sixty-four".