12733664624640 has 1024 divisors, whose sum is σ = 46505733120000. Its totient is φ = 3304722530304.

The previous prime is 12733664624623. The next prime is 12733664624657. The reversal of 12733664624640 is 4642646633721.

12733664624640 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 3 + 6 + 6 + 4 + 624 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12733664624623) and next prime (12733664624657).

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29006069541 + ... + 29006069979.

It is an arithmetic number, because the mean of its divisors is an integer number (45415755000).

Almost surely, 2^{12733664624640} is an apocalyptic number.

12733664624640 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 12733664624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252866560000).

12733664624640 is an abundant number, since it is smaller than the sum of its proper divisors (33772068495360).

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

12733664624640 is an frugal number, since it uses more digits than its factorization.

12733664624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 12733664624640 in words is "twelve trillion, seven hundred thirty-three billion, six hundred sixty-four million, six hundred twenty-four thousand, six hundred forty".