12640877280 has 768 divisors, whose sum is σ = 49380710400. Its totient is φ = 3008839680.

The previous prime is 12640877279. The next prime is 12640877287. The reversal of 12640877280 is 8277804621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640877287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118138987 + ... + 118139093.

It is an arithmetic number, because the mean of its divisors is an integer number (64297800).

Almost surely, 2^12640877280 is an apocalyptic number.

12640877280 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 12640877280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24690355200).

12640877280 is an abundant number, since it is smaller than the sum of its proper divisors (36739833120).

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

12640877280 is a wasteful number, since it uses less digits than its factorization.

12640877280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12640877280 in words is "twelve billion, six hundred forty million, eight hundred seventy-seven thousand, two hundred eighty".