12747733440 has 448 divisors, whose sum is σ = 46085760000. Its totient is φ = 2961801216.

The previous prime is 12747733433. The next prime is 12747733487. The reversal of 12747733440 is 4433774721.

It is a junction number, because it is equal to n+sod(n) for n = 12747733392 and 12747733401.

It is a congruent number.

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, 25546311 + ... + 25546809.

It is an arithmetic number, because the mean of its divisors is an integer number (102870000).

Almost surely, 2^12747733440 is an apocalyptic number.

12747733440 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 12747733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880000).

12747733440 is an abundant number, since it is smaller than the sum of its proper divisors (33338026560).

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

12747733440 is a wasteful number, since it uses less digits than its factorization.

12747733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 12747733440 in words is "twelve billion, seven hundred forty-seven million, seven hundred thirty-three thousand, four hundred forty".