18276013440 has 768 divisors, whose sum is σ = 70114636800. Its totient is φ = 4371333120.

The previous prime is 18276013423. The next prime is 18276013447. The reversal of 18276013440 is 4431067281.

18276013440 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 601 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18276013395 and 18276013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18276013447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257408605 + ... + 257408675.

It is an arithmetic number, because the mean of its divisors is an integer number (91295100).

Almost surely, 2^18276013440 is an apocalyptic number.

18276013440 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 18276013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35057318400).

18276013440 is an abundant number, since it is smaller than the sum of its proper divisors (51838623360).

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

18276013440 is a wasteful number, since it uses less digits than its factorization.

18276013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18276013440 in words is "eighteen billion, two hundred seventy-six million, thirteen thousand, four hundred forty".