12740682240 has 640 divisors, whose sum is σ = 53209094400. Its totient is φ = 2848849920.

The previous prime is 12740682221. The next prime is 12740682247. The reversal of 12740682240 is 4228604721.

12740682240 is a `hidden beast` number, since 1 + 2 + 7 + 406 + 8 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12740682195 and 12740682204.

It is not an unprimeable number, because it can be changed into a prime (12740682247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9883516 + ... + 9884804.

It is an arithmetic number, because the mean of its divisors is an integer number (83139210).

Almost surely, 2^12740682240 is an apocalyptic number.

12740682240 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 12740682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26604547200).

12740682240 is an abundant number, since it is smaller than the sum of its proper divisors (40468412160).

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

12740682240 is a wasteful number, since it uses less digits than its factorization.

12740682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12740682240 in words is "twelve billion, seven hundred forty million, six hundred eighty-two thousand, two hundred forty".