11873456640 has 240 divisors, whose sum is σ = 41365209600. Its totient is φ = 3147472896.

The previous prime is 11873456627. The next prime is 11873456641. The reversal of 11873456640 is 4665437811.

11873456640 is a `hidden beast` number, since 1 + 1 + 87 + 3 + 4 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11873456641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4122721 + ... + 4125599.

It is an arithmetic number, because the mean of its divisors is an integer number (172355040).

Almost surely, 2^11873456640 is an apocalyptic number.

11873456640 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 11873456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682604800).

11873456640 is an abundant number, since it is smaller than the sum of its proper divisors (29491752960).

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

11873456640 is a wasteful number, since it uses less digits than its factorization.

11873456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11873456640 in words is "eleven billion, eight hundred seventy-three million, four hundred fifty-six thousand, six hundred forty".