66973600384 has 256 divisors, whose sum is σ = 155920464000. Its totient is φ = 28438953984.

The previous prime is 66973600363. The next prime is 66973600391. The reversal of 66973600384 is 48300637966.

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, 99514672 + ... + 99515344.

Almost surely, 2^66973600384 is an apocalyptic number.

66973600384 is a gapful number since it is divisible by the number (64) 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 66973600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77960232000).

66973600384 is an abundant number, since it is smaller than the sum of its proper divisors (88946863616).

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

66973600384 is a wasteful number, since it uses less digits than its factorization.

66973600384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 66973600384 in words is "sixty-six billion, nine hundred seventy-three million, six hundred thousand, three hundred eighty-four".