12640104540 has 576 divisors, whose sum is σ = 48543667200. Its totient is φ = 2673575424.

The previous prime is 12640104493. The next prime is 12640104557. The reversal of 12640104540 is 4540104621.

12640104540 is a `hidden beast` number, since 1 + 2 + 640 + 10 + 4 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×12640104540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80510142 + ... + 80510298.

It is an arithmetic number, because the mean of its divisors is an integer number (84277200).

Almost surely, 2^12640104540 is an apocalyptic number.

12640104540 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 12640104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271833600).

12640104540 is an abundant number, since it is smaller than the sum of its proper divisors (35903562660).

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

12640104540 is a wasteful number, since it uses less digits than its factorization.

12640104540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12640104540 in words is "twelve billion, six hundred forty million, one hundred four thousand, five hundred forty".