12306878640 has 640 divisors, whose sum is σ = 51790970880. Its totient is φ = 2624928768.

The previous prime is 12306878609. The next prime is 12306878653. The reversal of 12306878640 is 4687860321.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14953269 + ... + 14954091.

It is an arithmetic number, because the mean of its divisors is an integer number (80923392).

Almost surely, 2^12306878640 is an apocalyptic number.

12306878640 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 12306878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25895485440).

12306878640 is an abundant number, since it is smaller than the sum of its proper divisors (39484092240).

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

12306878640 is a wasteful number, since it uses less digits than its factorization.

12306878640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

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

The spelling of 12306878640 in words is "twelve billion, three hundred six million, eight hundred seventy-eight thousand, six hundred forty".