66736116000 has 768 divisors, whose sum is σ = 252194342400. Its totient is φ = 17132544000.

The previous prime is 66736115989. The next prime is 66736116043. The reversal of 66736116000 is 61163766.

66736116000 is a `hidden beast` number, since 6 + 6 + 7 + 36 + 11 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 509435935 + ... + 509436065.

It is an arithmetic number, because the mean of its divisors is an integer number (328378050).

Almost surely, 2^66736116000 is an apocalyptic number.

66736116000 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 66736116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126097171200).

66736116000 is an abundant number, since it is smaller than the sum of its proper divisors (185458226400).

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

66736116000 is a wasteful number, since it uses less digits than its factorization.

66736116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 66736116000 its reverse (61163766), we get a palindrome (66797279766).

The spelling of 66736116000 in words is "sixty-six billion, seven hundred thirty-six million, one hundred sixteen thousand".