10434066064 has 40 divisors (see below), whose sum is σ = 21423015000. Its totient is φ = 4906057728.

The previous prime is 10434066031. The next prime is 10434066077. The reversal of 10434066064 is 46066043401.

It can be written as a sum of positive squares in 4 ways, for example, as 4609323664 + 5824742400 = 67892^2 + 76320^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 324372 + ... + 355084.

It is an arithmetic number, because the mean of its divisors is an integer number (535575375).

Almost surely, 2^10434066064 is an apocalyptic number.

It is an amenable number.

10434066064 is an abundant number, since it is smaller than the sum of its proper divisors (10988948936).

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

10434066064 is a wasteful number, since it uses less digits than its factorization.

10434066064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31987 (or 31981 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10434066064 in words is "ten billion, four hundred thirty-four million, sixty-six thousand, sixty-four".