66852729000 has 256 divisors, whose sum is σ = 232064352000. Its totient is φ = 17803699200.

The previous prime is 66852728941. The next prime is 66852729019. The reversal of 66852729000 is 92725866.

66852729000 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31399936 + ... + 31402064.

It is an arithmetic number, because the mean of its divisors is an integer number (906501375).

Almost surely, 2^66852729000 is an apocalyptic number.

66852729000 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 66852729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116032176000).

66852729000 is an abundant number, since it is smaller than the sum of its proper divisors (165211623000).

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

66852729000 is a wasteful number, since it uses less digits than its factorization.

66852729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 66852729000 in words is "sixty-six billion, eight hundred fifty-two million, seven hundred twenty-nine thousand".