18642767440 has 80 divisors (see below), whose sum is σ = 47410447680. Its totient is φ = 6761180160.

The previous prime is 18642767417. The next prime is 18642767441. The reversal of 18642767440 is 4476724681.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18642767441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305572 + ... + 361468.

It is an arithmetic number, because the mean of its divisors is an integer number (592630596).

Almost surely, 2^18642767440 is an apocalyptic number.

18642767440 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 18642767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705223840).

18642767440 is an abundant number, since it is smaller than the sum of its proper divisors (28767680240).

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

18642767440 is a wasteful number, since it uses less digits than its factorization.

18642767440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56300 (or 56294 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 18642767440 in words is "eighteen billion, six hundred forty-two million, seven hundred sixty-seven thousand, four hundred forty".