12694544640 has 864 divisors, whose sum is σ = 50602245120. Its totient is φ = 3008102400.

The previous prime is 12694544633. The next prime is 12694544659. The reversal of 12694544640 is 4644549621.

12694544640 is a `hidden beast` number, since 1 + 2 + 69 + 4 + 544 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×12694544640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 309623020 + ... + 309623060.

Almost surely, 2^12694544640 is an apocalyptic number.

12694544640 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 12694544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25301122560).

12694544640 is an abundant number, since it is smaller than the sum of its proper divisors (37907700480).

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

12694544640 is a wasteful number, since it uses less digits than its factorization.

12694544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12694544640 in words is "twelve billion, six hundred ninety-four million, five hundred forty-four thousand, six hundred forty".