10763347200 has 216 divisors, whose sum is σ = 36350152608. Its totient is φ = 2803261440.

The previous prime is 10763347193. The next prime is 10763347211. The reversal of 10763347200 is 274336701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819082 + ... + 832118.

Almost surely, 2^10763347200 is an apocalyptic number.

10763347200 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 10763347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175076304).

10763347200 is an abundant number, since it is smaller than the sum of its proper divisors (25586805408).

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

10763347200 is a wasteful number, since it uses less digits than its factorization.

10763347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13109 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 10763347200 in words is "ten billion, seven hundred sixty-three million, three hundred forty-seven thousand, two hundred".