18746999040 has 1152 divisors, whose sum is σ = 81378017280. Its totient is φ = 3561062400.

The previous prime is 18746998973. The next prime is 18746999041. The reversal of 18746999040 is 4099964781.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (18746999041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264042205 + ... + 264042275.

It is an arithmetic number, because the mean of its divisors is an integer number (70640640).

Almost surely, 2^18746999040 is an apocalyptic number.

18746999040 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 18746999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40689008640).

18746999040 is an abundant number, since it is smaller than the sum of its proper divisors (62631018240).

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

18746999040 is a wasteful number, since it uses less digits than its factorization.

18746999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 18746999040 in words is "eighteen billion, seven hundred forty-six million, nine hundred ninety-nine thousand, forty".