12640292784 has 320 divisors, whose sum is σ = 42747264000. Its totient is φ = 3501066240.

The previous prime is 12640292779. The next prime is 12640292789. The reversal of 12640292784 is 48729204621.

It is an interprime number because it is at equal distance from previous prime (12640292779) and next prime (12640292789).

It is not an unprimeable number, because it can be changed into a prime (12640292789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33351507 + ... + 33351885.

It is an arithmetic number, because the mean of its divisors is an integer number (133585200).

Almost surely, 2^12640292784 is an apocalyptic number.

12640292784 is a gapful number since it is divisible by the number (14) 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 12640292784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632000).

12640292784 is an abundant number, since it is smaller than the sum of its proper divisors (30106971216).

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

12640292784 is a wasteful number, since it uses less digits than its factorization.

12640292784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12640292784 in words is "twelve billion, six hundred forty million, two hundred ninety-two thousand, seven hundred eighty-four".