66724801 has 16 divisors (see below), whose sum is σ = 80515008. Its totient is φ = 54475200.

The previous prime is 66724769. The next prime is 66724829. The reversal of 66724801 is 10842766.

It is not a de Polignac number, because 66724801 - 2⁵ = 66724769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66724601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015 + ... + 11596.

It is an arithmetic number, because the mean of its divisors is an integer number (5032188).

Almost surely, 2^66724801 is an apocalyptic number.

It is an amenable number.

66724801 is a deficient number, since it is larger than the sum of its proper divisors (13790207).

66724801 is a wasteful number, since it uses less digits than its factorization.

66724801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12672.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 66724801 is about 8168.5250198552. The cubic root of 66724801 is about 405.5979603819.

The spelling of 66724801 in words is "sixty-six million, seven hundred twenty-four thousand, eight hundred one".