66745632 has 192 divisors, whose sum is σ = 202245120. Its totient is φ = 19160064.

The previous prime is 66745631. The next prime is 66745633. The reversal of 66745632 is 23654766.

It is an interprime number because it is at equal distance from previous prime (66745631) and next prime (66745633).

Its product of digits (181440) is a multiple of the sum of its prime factors (135).

It is not an unprimeable number, because it can be changed into a prime (66745631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552203 + ... + 1552245.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 2^66745632 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 66745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

66745632 is an abundant number, since it is smaller than the sum of its proper divisors (135499488).

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

66745632 is a wasteful number, since it uses less digits than its factorization.

66745632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 66745632 is about 8169.7999975520. The cubic root of 66745632 is about 405.6401642396.

The spelling of 66745632 in words is "sixty-six million, seven hundred forty-five thousand, six hundred thirty-two".