66994000800 has 288 divisors, whose sum is σ = 225574562304. Its totient is φ = 17270323200.

The previous prime is 66994000793. The next prime is 66994000841. The reversal of 66994000800 is 800049966.

66994000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66994000800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71497932 + ... + 71498868.

It is an arithmetic number, because the mean of its divisors is an integer number (783245008).

Almost surely, 2^66994000800 is an apocalyptic number.

66994000800 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 66994000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112787281152).

66994000800 is an abundant number, since it is smaller than the sum of its proper divisors (158580561504).

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

66994000800 is an equidigital number, since it uses as much as digits as its factorization.

66994000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 66994000800 in words is "sixty-six billion, nine hundred ninety-four million, eight hundred", and thus it is an aban number.