66738789600 has 288 divisors, whose sum is σ = 249666520320. Its totient is φ = 15168675840.

The previous prime is 66738789583. The next prime is 66738789613. The reversal of 66738789600 is 698783766.

66738789600 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2996104 + ... + 3018296.

It is an arithmetic number, because the mean of its divisors is an integer number (866897640).

Almost surely, 2^66738789600 is an apocalyptic number.

66738789600 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 66738789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124833260160).

66738789600 is an abundant number, since it is smaller than the sum of its proper divisors (182927730720).

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

66738789600 is a wasteful number, since it uses less digits than its factorization.

66738789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22402 (or 22389 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 66738789600 in words is "sixty-six billion, seven hundred thirty-eight million, seven hundred eighty-nine thousand, six hundred".