18937467457728 has 672 divisors, whose sum is σ = 57830070735360. Its totient is φ = 5443123445760.

The previous prime is 18937467457669. The next prime is 18937467457739. The reversal of 18937467457728 is 82775476473981.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6559564701 + ... + 6559567587.

It is an arithmetic number, because the mean of its divisors is an integer number (86056652880).

Almost surely, 2^{18937467457728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18937467457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28915035367680).

18937467457728 is an abundant number, since it is smaller than the sum of its proper divisors (38892603277632).

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

18937467457728 is a wasteful number, since it uses less digits than its factorization.

18937467457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3092 counting only the distinct ones).

The product of its digits is 3982970880, while the sum is 78.

The spelling of 18937467457728 in words is "eighteen trillion, nine hundred thirty-seven billion, four hundred sixty-seven million, four hundred fifty-seven thousand, seven hundred twenty-eight".