10633236480 has 156 divisors (see below), whose sum is σ = 36858025620. Its totient is φ = 2835480576.

The previous prime is 10633236479. The next prime is 10633236511. The reversal of 10633236480 is 8463233601.

10633236480 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 2 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2627997696 + 8005238784 = 51264^2 + 89472^2 .

It is a super-2 number, since 2×10633236480² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 155476 + ... + 213164.

It is an arithmetic number, because the mean of its divisors is an integer number (236269395).

Almost surely, 2^10633236480 is an apocalyptic number.

10633236480 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 10633236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429012810).

10633236480 is an abundant number, since it is smaller than the sum of its proper divisors (26224789140).

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

10633236480 is an equidigital number, since it uses as much as digits as its factorization.

10633236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57724 (or 57699 counting only the distinct ones).

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

The spelling of 10633236480 in words is "ten billion, six hundred thirty-three million, two hundred thirty-six thousand, four hundred eighty".