11866746640 has 320 divisors, whose sum is σ = 35232744960. Its totient is φ = 3622993920.

The previous prime is 11866746581. The next prime is 11866746653. The reversal of 11866746640 is 4664766811.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14631835 + ... + 14632645.

It is an arithmetic number, because the mean of its divisors is an integer number (110102328).

Almost surely, 2^11866746640 is an apocalyptic number.

11866746640 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 11866746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616372480).

11866746640 is an abundant number, since it is smaller than the sum of its proper divisors (23365998320).

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

11866746640 is a wasteful number, since it uses less digits than its factorization.

11866746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 11866746640 in words is "eleven billion, eight hundred sixty-six million, seven hundred forty-six thousand, six hundred forty".