66732912000 has 768 divisors, whose sum is σ = 250213017600. Its totient is φ = 17031168000.

The previous prime is 66732911983. The next prime is 66732912007. The reversal of 66732912000 is 21923766.

66732912000 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66732912007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525455937 + ... + 525456063.

It is an arithmetic number, because the mean of its divisors is an integer number (325798200).

Almost surely, 2^66732912000 is an apocalyptic number.

66732912000 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 66732912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125106508800).

66732912000 is an abundant number, since it is smaller than the sum of its proper divisors (183480105600).

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

66732912000 is a wasteful number, since it uses less digits than its factorization.

66732912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

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

The spelling of 66732912000 in words is "sixty-six billion, seven hundred thirty-two million, nine hundred twelve thousand".