2668331787264 has 2112 divisors, whose sum is σ = 10094365532160. Its totient is φ = 692748288000.

The previous prime is 2668331787263. The next prime is 2668331787269. The reversal of 2668331787264 is 4627871338662.

2668331787264 is a `hidden beast` number, since 266 + 8 + 3 + 31 + 7 + 87 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is not an unprimeable number, because it can be changed into a prime (2668331787263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45225962467 + ... + 45225962525.

Almost surely, 2^{2668331787264} is an apocalyptic number.

2668331787264 is a gapful number since it is divisible by the number (24) 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 2668331787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047182766080).

2668331787264 is an abundant number, since it is smaller than the sum of its proper divisors (7426033744896).

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

2668331787264 is a wasteful number, since it uses less digits than its factorization.

2668331787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 2668331787264 in words is "two trillion, six hundred sixty-eight billion, three hundred thirty-one million, seven hundred eighty-seven thousand, two hundred sixty-four".