18742476480 has 336 divisors, whose sum is σ = 74550117600. Its totient is φ = 3954327552.

The previous prime is 18742476457. The next prime is 18742476547. The reversal of 18742476480 is 8467424781.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596196 + ... + 626844.

It is an arithmetic number, because the mean of its divisors is an integer number (221875350).

Almost surely, 2^18742476480 is an apocalyptic number.

18742476480 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 18742476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37275058800).

18742476480 is an abundant number, since it is smaller than the sum of its proper divisors (55807641120).

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

18742476480 is a wasteful number, since it uses less digits than its factorization.

18742476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30696 (or 30679 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 18742476480 in words is "eighteen billion, seven hundred forty-two million, four hundred seventy-six thousand, four hundred eighty".