11673016320 has 384 divisors, whose sum is σ = 44941478400. Its totient is φ = 2526806016.

The previous prime is 11673016297. The next prime is 11673016321. The reversal of 11673016320 is 2361037611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11673016321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084332 + ... + 4087188.

It is an arithmetic number, because the mean of its divisors is an integer number (117035100).

Almost surely, 2^11673016320 is an apocalyptic number.

11673016320 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 11673016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470739200).

11673016320 is an abundant number, since it is smaller than the sum of its proper divisors (33268462080).

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

11673016320 is a wasteful number, since it uses less digits than its factorization.

11673016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 11673016320 in words is "eleven billion, six hundred seventy-three million, sixteen thousand, three hundred twenty".