11867000640 has 224 divisors, whose sum is σ = 42107022720. Its totient is φ = 2806579200.

The previous prime is 11867000633. The next prime is 11867000641. The reversal of 11867000640 is 4600076811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11867000641) 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 31 ways as a sum of consecutive naturals, for example, 419256 + ... + 446664.

It is an arithmetic number, because the mean of its divisors is an integer number (187977780).

Almost surely, 2^11867000640 is an apocalyptic number.

11867000640 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 11867000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21053511360).

11867000640 is an abundant number, since it is smaller than the sum of its proper divisors (30240022080).

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

11867000640 is a wasteful number, since it uses less digits than its factorization.

11867000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27481 (or 27471 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11867000640 in words is "eleven billion, eight hundred sixty-seven million, six hundred forty", and thus it is an aban number.