66018048000 has 384 divisors, whose sum is σ = 223106607360. Its totient is φ = 17328537600.

The previous prime is 66018047987. The next prime is 66018048011. The reversal of 66018048000 is 84081066.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51455359 + ... + 51456641.

It is an arithmetic number, because the mean of its divisors is an integer number (581006790).

Almost surely, 2^66018048000 is an apocalyptic number.

66018048000 is a gapful number since it is divisible by the number (60) 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 66018048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111553303680).

66018048000 is an abundant number, since it is smaller than the sum of its proper divisors (157088559360).

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

66018048000 is a wasteful number, since it uses less digits than its factorization.

66018048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 66018048000 in words is "sixty-six billion, eighteen million, forty-eight thousand".