18763517964240 has 960 divisors, whose sum is σ = 77666983280640. Its totient is φ = 3965111377920.

The previous prime is 18763517964187. The next prime is 18763517964241. The reversal of 18763517964240 is 4246971536781.

18763517964240 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 3 + 517 + 96 + 4 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18763517964241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3424621821 + ... + 3424627299.

It is an arithmetic number, because the mean of its divisors is an integer number (80903107584).

It is a 1-persistent number, because it is pandigital, but 2⋅18763517964240 = 37527035928480 is not.

Almost surely, 2^{18763517964240} is an apocalyptic number.

18763517964240 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 18763517964240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38833491640320).

18763517964240 is an abundant number, since it is smaller than the sum of its proper divisors (58903465316400).

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

18763517964240 is a wasteful number, since it uses less digits than its factorization.

18763517964240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 18763517964240 in words is "eighteen trillion, seven hundred sixty-three billion, five hundred seventeen million, nine hundred sixty-four thousand, two hundred forty".