12787669440 has 672 divisors, whose sum is σ = 55118568960. Its totient is φ = 2649120768.

The previous prime is 12787669373. The next prime is 12787669469. The reversal of 12787669440 is 4496678721.

12787669440 is a `hidden beast` number, since 1 + 2 + 78 + 76 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15462307 + ... + 15463133.

It is an arithmetic number, because the mean of its divisors is an integer number (82021680).

Almost surely, 2^12787669440 is an apocalyptic number.

12787669440 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 12787669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27559284480).

12787669440 is an abundant number, since it is smaller than the sum of its proper divisors (42330899520).

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

12787669440 is a wasteful number, since it uses less digits than its factorization.

12787669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12787669440 in words is "twelve billion, seven hundred eighty-seven million, six hundred sixty-nine thousand, four hundred forty".