10032567660 has 120 divisors (see below), whose sum is σ = 31575319776. Its totient is φ = 2666615040.

The previous prime is 10032567659. The next prime is 10032567707. The reversal of 10032567660 is 6676523001.

10032567660 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 567 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 493864 + ... + 513776.

Almost surely, 2^10032567660 is an apocalyptic number.

10032567660 is a gapful number since it is divisible by the number (10) 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 10032567660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787659888).

10032567660 is an abundant number, since it is smaller than the sum of its proper divisors (21542752116).

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

10032567660 is a wasteful number, since it uses less digits than its factorization.

10032567660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20245 (or 20234 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10032567660 in words is "ten billion, thirty-two million, five hundred sixty-seven thousand, six hundred sixty".