11671673840 has 80 divisors (see below), whose sum is σ = 28465606656. Its totient is φ = 4442169600.

The previous prime is 11671673821. The next prime is 11671673861. The reversal of 11671673840 is 4837617611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11671673791 and 11671673800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334835 + ... + 368045.

Almost surely, 2^11671673840 is an apocalyptic number.

11671673840 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 11671673840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232803328).

11671673840 is an abundant number, since it is smaller than the sum of its proper divisors (16793932816).

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

11671673840 is a wasteful number, since it uses less digits than its factorization.

11671673840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33438 (or 33432 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 11671673840 in words is "eleven billion, six hundred seventy-one million, six hundred seventy-three thousand, eight hundred forty".