10736425649664 has 1920 divisors, whose sum is σ = 39100022438400. Its totient is φ = 2881832878080.

The previous prime is 10736425649657. The next prime is 10736425649681. The reversal of 10736425649664 is 46694652463701.

10736425649664 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 4 + 2 + 564 + 9 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110684800464 + ... + 110684800560.

It is an arithmetic number, because the mean of its divisors is an integer number (20364595020).

Almost surely, 2^{10736425649664} 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 10736425649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550011219200).

10736425649664 is an abundant number, since it is smaller than the sum of its proper divisors (28363596788736).

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

10736425649664 is a wasteful number, since it uses less digits than its factorization.

10736425649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 10736425649664 in words is "ten trillion, seven hundred thirty-six billion, four hundred twenty-five million, six hundred forty-nine thousand, six hundred sixty-four".