2664032103648 has 72 divisors (see below), whose sum is σ = 7575999297048. Its totient is φ = 887992180992.

The previous prime is 2664032103613. The next prime is 2664032103661. The reversal of 2664032103648 is 8463012304662.

2664032103648 is a `hidden beast` number, since 26 + 6 + 403 + 210 + 3 + 6 + 4 + 8 = 666.

2664032103648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25603986 + ... + 25707822.

It is an arithmetic number, because the mean of its divisors is an integer number (105222212459).

Almost surely, 2^{2664032103648} is an apocalyptic number.

It is an amenable number.

2664032103648 is an abundant number, since it is smaller than the sum of its proper divisors (4911967193400).

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

2664032103648 is a wasteful number, since it uses less digits than its factorization.

2664032103648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192936 (or 192925 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2664032103648 in words is "two trillion, six hundred sixty-four billion, thirty-two million, one hundred three thousand, six hundred forty-eight".