2649264117768 has 48 divisors (see below), whose sum is σ = 7231587118080. Its totient is φ = 876134587104.

The previous prime is 2649264117757. The next prime is 2649264117769. The reversal of 2649264117768 is 8677114629462.

2649264117768 is a `hidden beast` number, since 2 + 6 + 4 + 92 + 6 + 411 + 77 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (2649264117769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144854380 + ... + 144872667.

It is an arithmetic number, because the mean of its divisors is an integer number (150658064960).

Almost surely, 2^{2649264117768} is an apocalyptic number.

It is an amenable number.

2649264117768 is an abundant number, since it is smaller than the sum of its proper divisors (4582323000312).

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

2649264117768 is a wasteful number, since it uses less digits than its factorization.

2649264117768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289727186 (or 289727179 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 2649264117768 in words is "two trillion, six hundred forty-nine billion, two hundred sixty-four million, one hundred seventeen thousand, seven hundred sixty-eight".