66816792 has 192 divisors, whose sum is σ = 221616000. Its totient is φ = 18591552.

The previous prime is 66816791. The next prime is 66816809. The reversal of 66816792 is 29761866.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66816791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624403 + ... + 624509.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^66816792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66816792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110808000).

66816792 is an abundant number, since it is smaller than the sum of its proper divisors (154799208).

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

66816792 is a wasteful number, since it uses less digits than its factorization.

66816792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 66816792 is about 8174.1539011692. The cubic root of 66816792 is about 405.7842690604.

The spelling of 66816792 in words is "sixty-six million, eight hundred sixteen thousand, seven hundred ninety-two".