12757040640 has 480 divisors, whose sum is σ = 46604802816. Its totient is φ = 3220439040.

The previous prime is 12757040627. The next prime is 12757040641. The reversal of 12757040640 is 4604075721.

12757040640 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 7 + 0 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×12757040640² (a number of 21 digits) contains 22 as substring.

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 = 12757040595 and 12757040604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12757040641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37854552 + ... + 37854888.

Almost surely, 2^12757040640 is an apocalyptic number.

12757040640 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 12757040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302401408).

12757040640 is an abundant number, since it is smaller than the sum of its proper divisors (33847762176).

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

12757040640 is a wasteful number, since it uses less digits than its factorization.

12757040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12757040640 in words is "twelve billion, seven hundred fifty-seven million, forty thousand, six hundred forty".