10646887064 has 128 divisors (see below), whose sum is σ = 22786790400. Its totient is φ = 4621962240.

The previous prime is 10646887061. The next prime is 10646887079. The reversal of 10646887064 is 46078864601.

10646887064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10646887064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646887061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54045014 + ... + 54045210.

It is an arithmetic number, because the mean of its divisors is an integer number (178021800).

Almost surely, 2^10646887064 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 10646887064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393395200).

10646887064 is an abundant number, since it is smaller than the sum of its proper divisors (12139903336).

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

10646887064 is a wasteful number, since it uses less digits than its factorization.

10646887064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 10646887064 in words is "ten billion, six hundred forty-six million, eight hundred eighty-seven thousand, sixty-four".