18758226240 has 560 divisors, whose sum is σ = 72492900480. Its totient is φ = 4576849920.

The previous prime is 18758226239. The next prime is 18758226251. The reversal of 18758226240 is 4262285781.

18758226240 is a `hidden beast` number, since 1 + 8 + 7 + 582 + 2 + 62 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60315685 + ... + 60315995.

It is an arithmetic number, because the mean of its divisors is an integer number (129451608).

Almost surely, 2^18758226240 is an apocalyptic number.

18758226240 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 18758226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246450240).

18758226240 is an abundant number, since it is smaller than the sum of its proper divisors (53734674240).

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

18758226240 is a wasteful number, since it uses less digits than its factorization.

18758226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 18758226240 in words is "eighteen billion, seven hundred fifty-eight million, two hundred twenty-six thousand, two hundred forty".