18757257704640 has 2688 divisors, whose sum is σ = 86699446087680. Its totient is φ = 3730234540032.

The previous prime is 18757257704629. The next prime is 18757257704657. The reversal of 18757257704640 is 4640775275781.

It is a happy number.

18757257704640 is a `hidden beast` number, since 1 + 8 + 7 + 57 + 2 + 57 + 70 + 464 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17161259934 + ... + 17161261026.

Almost surely, 2^{18757257704640} is an apocalyptic number.

18757257704640 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 18757257704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43349723043840).

18757257704640 is an abundant number, since it is smaller than the sum of its proper divisors (67942188383040).

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

18757257704640 is a wasteful number, since it uses less digits than its factorization.

18757257704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 18757257704640 in words is "eighteen trillion, seven hundred fifty-seven billion, two hundred fifty-seven million, seven hundred four thousand, six hundred forty".