66735460 has 48 divisors (see below), whose sum is σ = 153905472. Its totient is φ = 24105600.

The previous prime is 66735439. The next prime is 66735481. The reversal of 66735460 is 6453766.

It is an interprime number because it is at equal distance from previous prime (66735439) and next prime (66735481).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34930 + ... + 36790.

It is an arithmetic number, because the mean of its divisors is an integer number (3206364).

Almost surely, 2^66735460 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 66735460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76952736).

66735460 is an abundant number, since it is smaller than the sum of its proper divisors (87170012).

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

66735460 is a wasteful number, since it uses less digits than its factorization.

66735460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 66735460 is about 8169.1774371720. The cubic root of 66735460 is about 405.6195567419.

The spelling of 66735460 in words is "sixty-six million, seven hundred thirty-five thousand, four hundred sixty".