2664464868000 has 2304 divisors, whose sum is σ = 11190654558720. Its totient is φ = 618098688000.

The previous prime is 2664464867989. The next prime is 2664464868001. The reversal of 2664464868000 is 8684644662.

2664464868000 is a `hidden beast` number, since 26 + 6 + 4 + 464 + 86 + 80 + 0 + 0 = 666.

2664464868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2664464868001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19168811931 + ... + 19168812069.

It is an arithmetic number, because the mean of its divisors is an integer number (4857054930).

Almost surely, 2^{2664464868000} is an apocalyptic number.

2664464868000 is a gapful number since it is divisible by the number (20) 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 2664464868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595327279360).

2664464868000 is an abundant number, since it is smaller than the sum of its proper divisors (8526189690720).

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

2664464868000 is a wasteful number, since it uses less digits than its factorization.

2664464868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2664464868000 in words is "two trillion, six hundred sixty-four billion, four hundred sixty-four million, eight hundred sixty-eight thousand".