12632315496840 has 512 divisors, whose sum is σ = 47749201920000. Its totient is φ = 2944863267840.

The previous prime is 12632315496803. The next prime is 12632315496841. The reversal of 12632315496840 is 4869451323621.

It is a happy number.

12632315496840 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 2 + 31 + 549 + 68 + 4 + 0 = 666.

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 (12632315496841) 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, 1096644601 + ... + 1096656119.

It is an arithmetic number, because the mean of its divisors is an integer number (93260160000).

Almost surely, 2^{12632315496840} is an apocalyptic number.

12632315496840 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 12632315496840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23874600960000).

12632315496840 is an abundant number, since it is smaller than the sum of its proper divisors (35116886423160).

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

12632315496840 is a wasteful number, since it uses less digits than its factorization.

12632315496840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12632315496840 in words is "twelve trillion, six hundred thirty-two billion, three hundred fifteen million, four hundred ninety-six thousand, eight hundred forty".