10290632064 has 64 divisors (see below), whose sum is σ = 27379709040. Its totient is φ = 3424536576.

The previous prime is 10290632059. The next prime is 10290632089. The reversal of 10290632064 is 46023609201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213534 + ... + 257250.

Almost surely, 2^10290632064 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 10290632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689854520).

10290632064 is an abundant number, since it is smaller than the sum of its proper divisors (17089076976).

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

10290632064 is an equidigital number, since it uses as much as digits as its factorization.

10290632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44347 (or 44335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 10290632064 in words is "ten billion, two hundred ninety million, six hundred thirty-two thousand, sixty-four".