12840643800 has 192 divisors, whose sum is σ = 44890281600. Its totient is φ = 3372969600.

The previous prime is 12840643729. The next prime is 12840643807. The reversal of 12840643800 is 834604821.

12840643800 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 643 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840643807) 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, 344055 + ... + 379545.

It is an arithmetic number, because the mean of its divisors is an integer number (233803550).

Almost surely, 2^12840643800 is an apocalyptic number.

12840643800 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 12840643800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445140800).

12840643800 is an abundant number, since it is smaller than the sum of its proper divisors (32049637800).

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

12840643800 is a wasteful number, since it uses less digits than its factorization.

12840643800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35583 (or 35568 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12840643800 in words is "twelve billion, eight hundred forty million, six hundred forty-three thousand, eight hundred".