18758917440 has 224 divisors, whose sum is σ = 66787776000. Its totient is φ = 4956235776.

The previous prime is 18758917349. The next prime is 18758917451. The reversal of 18758917440 is 4471985781.

18758917440 is a `hidden beast` number, since 1 + 8 + 7 + 589 + 17 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931801 + ... + 951719.

Almost surely, 2^18758917440 is an apocalyptic number.

18758917440 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 18758917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33393888000).

18758917440 is an abundant number, since it is smaller than the sum of its proper divisors (48028858560).

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

18758917440 is a wasteful number, since it uses less digits than its factorization.

18758917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20054 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 18758917440 in words is "eighteen billion, seven hundred fifty-eight million, nine hundred seventeen thousand, four hundred forty".