10633734400 has 81 divisors (see below), whose sum is σ = 26340589051. Its totient is φ = 4250193920.

The previous prime is 10633734383. The next prime is 10633734401. The reversal of 10633734400 is 443733601.

The square root of 10633734400 is 103120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 395532544 + 10238201856 = 19888^2 + 101184^2 .

It is a super-2 number, since 2×10633734400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10633734401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8248956 + ... + 8250244.

Almost surely, 2^10633734400 is an apocalyptic number.

10633734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10633734400 is the 103120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10633734400

10633734400 is an abundant number, since it is smaller than the sum of its proper divisors (15706854651).

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

10633734400 is an frugal number, since it uses more digits than its factorization.

10633734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 10633734400 in words is "ten billion, six hundred thirty-three million, seven hundred thirty-four thousand, four hundred".