66386733768300 has 432 divisors, whose sum is σ = 212141830164992. Its totient is φ = 16016616000000.

The previous prime is 66386733768227. The next prime is 66386733768317. The reversal of 66386733768300 is 386733768366.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10338999090 + ... + 10339005510.

Almost surely, 2^{66386733768300} is an apocalyptic number.

66386733768300 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 66386733768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106070915082496).

66386733768300 is an abundant number, since it is smaller than the sum of its proper divisors (145755096396692).

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

66386733768300 is a wasteful number, since it uses less digits than its factorization.

66386733768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 66.

Adding to 66386733768300 its sum of digits (66), we get a palindrome (66386733768366).

The spelling of 66386733768300 in words is "sixty-six trillion, three hundred eighty-six billion, seven hundred thirty-three million, seven hundred sixty-eight thousand, three hundred".