12693986640 has 480 divisors, whose sum is σ = 47632665600. Its totient is φ = 3015843840.

The previous prime is 12693986563. The next prime is 12693986651. The reversal of 12693986640 is 4668939621.

It is a super-2 number, since 2×12693986640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15690556 + ... + 15691364.

It is an arithmetic number, because the mean of its divisors is an integer number (99234720).

Almost surely, 2^12693986640 is an apocalyptic number.

12693986640 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 12693986640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816332800).

12693986640 is an abundant number, since it is smaller than the sum of its proper divisors (34938678960).

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

12693986640 is a wasteful number, since it uses less digits than its factorization.

12693986640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12693986640 in words is "twelve billion, six hundred ninety-three million, nine hundred eighty-six thousand, six hundred forty".