66623064300 has 288 divisors, whose sum is σ = 232952381760. Its totient is φ = 16236288000.

The previous prime is 66623064271. The next prime is 66623064337. The reversal of 66623064300 is 346032666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3535704 + ... + 3554496.

Almost surely, 2^66623064300 is an apocalyptic number.

66623064300 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 66623064300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116476190880).

66623064300 is an abundant number, since it is smaller than the sum of its proper divisors (166329317460).

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

66623064300 is a wasteful number, since it uses less digits than its factorization.

66623064300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18930 (or 18917 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 66623064300 its reverse (346032666), we get a palindrome (66969096966).

The spelling of 66623064300 in words is "sixty-six billion, six hundred twenty-three million, sixty-four thousand, three hundred".