18661762080 has 576 divisors, whose sum is σ = 72516487680. Its totient is φ = 4335648768.

The previous prime is 18661762079. The next prime is 18661762109. The reversal of 18661762080 is 8026716681.

It is a happy number.

18661762080 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 17 + 620 + 8 + 0 = 666.

It is a super-2 number, since 2×18661762080² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 38319597 + ... + 38320083.

It is an arithmetic number, because the mean of its divisors is an integer number (125896680).

Almost surely, 2^18661762080 is an apocalyptic number.

18661762080 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 18661762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258243840).

18661762080 is an abundant number, since it is smaller than the sum of its proper divisors (53854725600).

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

18661762080 is a wasteful number, since it uses less digits than its factorization.

18661762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18661762080 in words is "eighteen billion, six hundred sixty-one million, seven hundred sixty-two thousand, eighty".