66745536 has 252 divisors, whose sum is σ = 222555816. Its totient is φ = 17571840.

The previous prime is 66745531. The next prime is 66745541. The reversal of 66745536 is 63554766.

It is an interprime number because it is at equal distance from previous prime (66745531) and next prime (66745541).

Its product of digits (453600) is a multiple of the sum of its prime factors (80).

It is not an unprimeable number, because it can be changed into a prime (66745531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3926200 + ... + 3926216.

It is an arithmetic number, because the mean of its divisors is an integer number (883158).

Almost surely, 2^66745536 is an apocalyptic number.

66745536 is a gapful number since it is divisible by the number (66) 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 66745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111277908).

66745536 is an abundant number, since it is smaller than the sum of its proper divisors (155810280).

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

66745536 is a wasteful number, since it uses less digits than its factorization.

66745536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 66745536 is about 8169.7941222530. The cubic root of 66745536 is about 405.6399697626.

The spelling of 66745536 in words is "sixty-six million, seven hundred forty-five thousand, five hundred thirty-six".