18725763840 has 576 divisors, whose sum is σ = 74130287616. Its totient is φ = 3930587136.

The previous prime is 18725763821. The next prime is 18725763841. The reversal of 18725763840 is 4836752781.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (18725763841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19648804 + ... + 19649756.

It is an arithmetic number, because the mean of its divisors is an integer number (128698416).

Almost surely, 2^18725763840 is an apocalyptic number.

18725763840 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 18725763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065143808).

18725763840 is an abundant number, since it is smaller than the sum of its proper divisors (55404523776).

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

18725763840 is a wasteful number, since it uses less digits than its factorization.

18725763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 18725763840 in words is "eighteen billion, seven hundred twenty-five million, seven hundred sixty-three thousand, eight hundred forty".