12632019495840 has 1152 divisors, whose sum is σ = 48470317056000. Its totient is φ = 3063538962432.

The previous prime is 12632019495839. The next prime is 12632019495841. The reversal of 12632019495840 is 4859491023621.

It is a happy number.

12632019495840 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 2 + 0 + 19 + 49 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12632019495839) and next prime (12632019495841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12632019495841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8877033369 + ... + 8877034791.

It is an arithmetic number, because the mean of its divisors is an integer number (42074928000).

Almost surely, 2^{12632019495840} is an apocalyptic number.

12632019495840 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 12632019495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235158528000).

12632019495840 is an abundant number, since it is smaller than the sum of its proper divisors (35838297560160).

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

12632019495840 is a wasteful number, since it uses less digits than its factorization.

12632019495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12632019495840 in words is "twelve trillion, six hundred thirty-two billion, nineteen million, four hundred ninety-five thousand, eight hundred forty".