11673456040 has 64 divisors (see below), whose sum is σ = 27157757760. Its totient is φ = 4512852480.

The previous prime is 11673456031. The next prime is 11673456049. The reversal of 11673456040 is 4065437611.

It is an interprime number because it is at equal distance from previous prime (11673456031) and next prime (11673456049).

It is not an unprimeable number, because it can be changed into a prime (11673456049) 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 15 ways as a sum of consecutive naturals, for example, 142219 + ... + 208741.

It is an arithmetic number, because the mean of its divisors is an integer number (424339965).

Almost surely, 2^11673456040 is an apocalyptic number.

11673456040 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 11673456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578878880).

11673456040 is an abundant number, since it is smaller than the sum of its proper divisors (15484301720).

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

11673456040 is a wasteful number, since it uses less digits than its factorization.

11673456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66682 (or 66678 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 11673456040 in words is "eleven billion, six hundred seventy-three million, four hundred fifty-six thousand, forty".