10033638264 has 128 divisors (see below), whose sum is σ = 30377491200. Its totient is φ = 3050006400.

The previous prime is 10033638247. The next prime is 10033638271. The reversal of 10033638264 is 46283633001.

10033638264 is a `hidden beast` number, since 10 + 0 + 3 + 3 + 638 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211539 + ... + 254589.

It is an arithmetic number, because the mean of its divisors is an integer number (237324150).

Almost surely, 2^10033638264 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 10033638264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188745600).

10033638264 is an abundant number, since it is smaller than the sum of its proper divisors (20343852936).

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

10033638264 is a wasteful number, since it uses less digits than its factorization.

10033638264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43162 (or 43152 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10033638264 in words is "ten billion, thirty-three million, six hundred thirty-eight thousand, two hundred sixty-four".