2664123365376 has 1152 divisors, whose sum is σ = 9040785062400. Its totient is φ = 748215336960.

The previous prime is 2664123365353. The next prime is 2664123365377. The reversal of 2664123365376 is 6735633214662.

2664123365376 is a `hidden beast` number, since 2 + 6 + 64 + 12 + 3 + 36 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664123365377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25865275341 + ... + 25865275443.

It is an arithmetic number, because the mean of its divisors is an integer number (7847903700).

Almost surely, 2^{2664123365376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664123365376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520392531200).

2664123365376 is an abundant number, since it is smaller than the sum of its proper divisors (6376661697024).

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

2664123365376 is a wasteful number, since it uses less digits than its factorization.

2664123365376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 284 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 2664123365376 in words is "two trillion, six hundred sixty-four billion, one hundred twenty-three million, three hundred sixty-five thousand, three hundred seventy-six".