18772960640 has 512 divisors, whose sum is σ = 57905971200. Its totient is φ = 5671378944.

The previous prime is 18772960631. The next prime is 18772960643. The reversal of 18772960640 is 4606927781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18772960643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84183569 + ... + 84183791.

It is an arithmetic number, because the mean of its divisors is an integer number (113097600).

Almost surely, 2^18772960640 is an apocalyptic number.

18772960640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18772960640 is the 111872-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18772960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28952985600).

18772960640 is an abundant number, since it is smaller than the sum of its proper divisors (39133010560).

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

18772960640 is a wasteful number, since it uses less digits than its factorization.

18772960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 18772960640 in words is "eighteen billion, seven hundred seventy-two million, nine hundred sixty thousand, six hundred forty".