66799728000 has 1024 divisors, whose sum is σ = 263044454400. Its totient is φ = 16833484800.

The previous prime is 66799727993. The next prime is 66799728041. The reversal of 66799728000 is 82799766.

66799728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 804815959 + ... + 804816041.

It is an arithmetic number, because the mean of its divisors is an integer number (256879350).

Almost surely, 2^66799728000 is an apocalyptic number.

66799728000 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 66799728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131522227200).

66799728000 is an abundant number, since it is smaller than the sum of its proper divisors (196244726400).

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

66799728000 is an frugal number, since it uses more digits than its factorization.

66799728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 66799728000 in words is "sixty-six billion, seven hundred ninety-nine million, seven hundred twenty-eight thousand".