18283648320 has 672 divisors, whose sum is σ = 79015132800. Its totient is φ = 3957424128.

The previous prime is 18283648303. The next prime is 18283648351. The reversal of 18283648320 is 2384638281.

18283648320 is a `hidden beast` number, since 1 + 8 + 283 + 6 + 48 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8042704 + ... + 8044976.

Almost surely, 2^18283648320 is an apocalyptic number.

18283648320 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 18283648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39507566400).

18283648320 is an abundant number, since it is smaller than the sum of its proper divisors (60731484480).

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

18283648320 is a wasteful number, since it uses less digits than its factorization.

18283648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18283648320 in words is "eighteen billion, two hundred eighty-three million, six hundred forty-eight thousand, three hundred twenty".