18816744960 has 640 divisors, whose sum is σ = 73805276160. Its totient is φ = 4514807808.

The previous prime is 18816744907. The next prime is 18816745007. The reversal of 18816744960 is 6944761881.

18816744960 is a `hidden beast` number, since 1 + 8 + 81 + 6 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18816744897 and 18816744906.

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, 38637837 + ... + 38638323.

It is an arithmetic number, because the mean of its divisors is an integer number (115320744).

Almost surely, 2^18816744960 is an apocalyptic number.

18816744960 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 18816744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36902638080).

18816744960 is an abundant number, since it is smaller than the sum of its proper divisors (54988531200).

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

18816744960 is a wasteful number, since it uses less digits than its factorization.

18816744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18816744960 in words is "eighteen billion, eight hundred sixteen million, seven hundred forty-four thousand, nine hundred sixty".