18264000480 has 384 divisors, whose sum is σ = 65383718400. Its totient is φ = 4244889600.

The previous prime is 18264000463. The next prime is 18264000497. The reversal of 18264000480 is 8400046281.

It is an interprime number because it is at equal distance from previous prime (18264000463) and next prime (18264000497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27714391 + ... + 27715049.

It is an arithmetic number, because the mean of its divisors is an integer number (170270100).

Almost surely, 2^18264000480 is an apocalyptic number.

18264000480 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 18264000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32691859200).

18264000480 is an abundant number, since it is smaller than the sum of its proper divisors (47119717920).

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

18264000480 is a wasteful number, since it uses less digits than its factorization.

18264000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 18264000480 in words is "eighteen billion, two hundred sixty-four million, four hundred eighty", and thus it is an aban number.