6636095268768 has 288 divisors, whose sum is σ = 21611940884352. Its totient is φ = 1892108851200.

The previous prime is 6636095268743. The next prime is 6636095268797. The reversal of 6636095268768 is 8678625906366.

6636095268768 is a `hidden beast` number, since 6 + 6 + 3 + 609 + 5 + 2 + 6 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6636095268696 and 6636095268705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3811656378 + ... + 3811658118.

It is an arithmetic number, because the mean of its divisors is an integer number (75041461404).

Almost surely, 2^{6636095268768} 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 6636095268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805970442176).

6636095268768 is an abundant number, since it is smaller than the sum of its proper divisors (14975845615584).

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

6636095268768 is a wasteful number, since it uses less digits than its factorization.

6636095268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 6636095268768 in words is "six trillion, six hundred thirty-six billion, ninety-five million, two hundred sixty-eight thousand, seven hundred sixty-eight".