12742733006640 has 1920 divisors, whose sum is σ = 56637686956032. Its totient is φ = 2590102241280.

The previous prime is 12742733006621. The next prime is 12742733006681. The reversal of 12742733006640 is 4660033724721.

12742733006640 is a `hidden beast` number, since 1 + 2 + 74 + 273 + 300 + 6 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17384355714 + ... + 17384356446.

Almost surely, 2^{12742733006640} is an apocalyptic number.

12742733006640 is a gapful number since it is divisible by the number (10) 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 12742733006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28318843478016).

12742733006640 is an abundant number, since it is smaller than the sum of its proper divisors (43894953949392).

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

12742733006640 is a wasteful number, since it uses less digits than its factorization.

12742733006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 12742733006640 in words is "twelve trillion, seven hundred forty-two billion, seven hundred thirty-three million, six thousand, six hundred forty".