2636341226064 has 1920 divisors, whose sum is σ = 10290349375488. Its totient is φ = 634581319680.

The previous prime is 2636341226063. The next prime is 2636341226171. The reversal of 2636341226064 is 4606221436362.

2636341226064 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 34 + 1 + 2 + 2 + 606 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2636341226063) 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 383 ways as a sum of consecutive naturals, for example, 23330453272 + ... + 23330453384.

Almost surely, 2^{2636341226064} is an apocalyptic number.

2636341226064 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 2636341226064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145174687744).

2636341226064 is an abundant number, since it is smaller than the sum of its proper divisors (7654008149424).

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

2636341226064 is a wasteful number, since it uses less digits than its factorization.

2636341226064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 2636341226064 in words is "two trillion, six hundred thirty-six billion, three hundred forty-one million, two hundred twenty-six thousand, sixty-four".