12642503328 has 1080 divisors, whose sum is σ = 50889928320. Its totient is φ = 3056901120.

The previous prime is 12642503287. The next prime is 12642503399. The reversal of 12642503328 is 82330524621.

12642503328 is a `hidden beast` number, since 1 + 2 + 642 + 5 + 0 + 3 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12642503292 and 12642503301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 407822673 + ... + 407822703.

It is an arithmetic number, because the mean of its divisors is an integer number (47120304).

Almost surely, 2^12642503328 is an apocalyptic number.

12642503328 is a gapful number since it is divisible by the number (18) 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 12642503328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444964160).

12642503328 is an abundant number, since it is smaller than the sum of its proper divisors (38247424992).

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

12642503328 is a wasteful number, since it uses less digits than its factorization.

12642503328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12642503328 in words is "twelve billion, six hundred forty-two million, five hundred three thousand, three hundred twenty-eight".