11763284640 has 96 divisors (see below), whose sum is σ = 39234041280. Its totient is φ = 2952351744.

The previous prime is 11763284609. The next prime is 11763284647. The reversal of 11763284640 is 4648236711.

11763284640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11763284592 and 11763284601.

It is not an unprimeable number, because it can be changed into a prime (11763284647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712630 + ... + 728949.

It is an arithmetic number, because the mean of its divisors is an integer number (408687930).

Almost surely, 2^11763284640 is an apocalyptic number.

11763284640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11763284640 is an abundant number, since it is smaller than the sum of its proper divisors (27470756640).

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

11763284640 is a wasteful number, since it uses less digits than its factorization.

11763284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441614 (or 1441606 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 11763284640 in words is "eleven billion, seven hundred sixty-three million, two hundred eighty-four thousand, six hundred forty".