10761332400 has 720 divisors, whose sum is σ = 46543521024. Its totient is φ = 2241976320.

The previous prime is 10761332399. The next prime is 10761332411. The reversal of 10761332400 is 423316701.

10761332400 is a `hidden beast` number, since 1 + 0 + 7 + 613 + 3 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35053047 + ... + 35053353.

Almost surely, 2^10761332400 is an apocalyptic number.

10761332400 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 10761332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23271760512).

10761332400 is an abundant number, since it is smaller than the sum of its proper divisors (35782188624).

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

10761332400 is a wasteful number, since it uses less digits than its factorization.

10761332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10761332400 in words is "ten billion, seven hundred sixty-one million, three hundred thirty-two thousand, four hundred".