12787670640 has 640 divisors, whose sum is σ = 46899855360. Its totient is φ = 2861236224.

The previous prime is 12787670633. The next prime is 12787670641. The reversal of 12787670640 is 4607678721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12787670640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787670641) 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, 100690257 + ... + 100690383.

It is an arithmetic number, because the mean of its divisors is an integer number (73281024).

Almost surely, 2^12787670640 is an apocalyptic number.

12787670640 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 12787670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23449927680).

12787670640 is an abundant number, since it is smaller than the sum of its proper divisors (34112184720).

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

12787670640 is a wasteful number, since it uses less digits than its factorization.

12787670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 12787670640 in words is "twelve billion, seven hundred eighty-seven million, six hundred seventy thousand, six hundred forty".