10763366400 has 624 divisors, whose sum is σ = 42049317600. Its totient is φ = 2689597440.

The previous prime is 10763366357. The next prime is 10763366407. The reversal of 10763366400 is 466336701.

It is a happy number.

10763366400 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 3 + 3 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10763366407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47001486 + ... + 47001714.

Almost surely, 2^10763366400 is an apocalyptic number.

10763366400 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 10763366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21024658800).

10763366400 is an abundant number, since it is smaller than the sum of its proper divisors (31285951200).

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

10763366400 is a wasteful number, since it uses less digits than its factorization.

10763366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10763366400 in words is "ten billion, seven hundred sixty-three million, three hundred sixty-six thousand, four hundred".