10764605200 has 60 divisors (see below), whose sum is σ = 25899122980. Its totient is φ = 4299655680.

The previous prime is 10764605197. The next prime is 10764605219. The reversal of 10764605200 is 250646701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4241135376 + 6523469824 = 65124^2 + 80768^2 .

It is a super-2 number, since 2×10764605200² (a number of 21 digits) contains 22 as substring.

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, 264622 + ... + 302578.

Almost surely, 2^10764605200 is an apocalyptic number.

10764605200 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 10764605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949561490).

10764605200 is an abundant number, since it is smaller than the sum of its proper divisors (15134517780).

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

10764605200 is a wasteful number, since it uses less digits than its factorization.

10764605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38684 (or 38673 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 10764605200 in words is "ten billion, seven hundred sixty-four million, six hundred five thousand, two hundred".