66450477600 has 576 divisors, whose sum is σ = 270095212800. Its totient is φ = 15644344320.

The previous prime is 66450477571. The next prime is 66450477601. The reversal of 66450477600 is 677405466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66450477601) 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, 6453256 + ... + 6463544.

It is an arithmetic number, because the mean of its divisors is an integer number (468915300).

Almost surely, 2^66450477600 is an apocalyptic number.

66450477600 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 66450477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135047606400).

66450477600 is an abundant number, since it is smaller than the sum of its proper divisors (203644735200).

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

66450477600 is a wasteful number, since it uses less digits than its factorization.

66450477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354 (or 10335 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 66450477600 in words is "sixty-six billion, four hundred fifty million, four hundred seventy-seven thousand, six hundred".