66673704960 has 420 divisors, whose sum is σ = 240559996908. Its totient is φ = 17666408448.

The previous prime is 66673704941. The next prime is 66673704967. The reversal of 66673704960 is 6940737666.

It can be written as a sum of positive squares in 2 ways, for example, as 21743271936 + 44930433024 = 147456^2 + 211968^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 66673704897 and 66673704906.

It is not an unprimeable number, because it can be changed into a prime (66673704967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424673202 + ... + 424673358.

Almost surely, 2^66673704960 is an apocalyptic number.

66673704960 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 66673704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120279998454).

66673704960 is an abundant number, since it is smaller than the sum of its proper divisors (173886291948).

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

66673704960 is an frugal number, since it uses more digits than its factorization.

66673704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 66673704960 in words is "sixty-six billion, six hundred seventy-three million, seven hundred four thousand, nine hundred sixty".