11673287640 has 576 divisors, whose sum is σ = 48096828000. Its totient is φ = 2438553600.

The previous prime is 11673287629. The next prime is 11673287641. The reversal of 11673287640 is 4678237611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11673287641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9719040 + ... + 9720240.

Almost surely, 2^11673287640 is an apocalyptic number.

11673287640 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 11673287640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24048414000).

11673287640 is an abundant number, since it is smaller than the sum of its proper divisors (36423540360).

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

11673287640 is a wasteful number, since it uses less digits than its factorization.

11673287640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11673287640 in words is "eleven billion, six hundred seventy-three million, two hundred eighty-seven thousand, six hundred forty".