18752413680 has 1600 divisors, whose sum is σ = 90744192000. Its totient is φ = 3535902720.

The previous prime is 18752413661. The next prime is 18752413681. The reversal of 18752413680 is 8631425781.

18752413680 is a `hidden beast` number, since 18 + 7 + 524 + 1 + 36 + 80 = 666.

It is a super-2 number, since 2×18752413680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18752413681) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 317837491 + ... + 317837549.

It is an arithmetic number, because the mean of its divisors is an integer number (56715120).

Almost surely, 2^18752413680 is an apocalyptic number.

18752413680 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 18752413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096000).

18752413680 is an abundant number, since it is smaller than the sum of its proper divisors (71991778320).

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

18752413680 is a wasteful number, since it uses less digits than its factorization.

18752413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18752413680 in words is "eighteen billion, seven hundred fifty-two million, four hundred thirteen thousand, six hundred eighty".