66049641 has 64 divisors (see below), whose sum is σ = 120706560. Its totient is φ = 34836480.

The previous prime is 66049639. The next prime is 66049651. The reversal of 66049641 is 14694066.

66049641 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 9 + 641 = 666.

It is not a de Polignac number, because 66049641 - 2¹ = 66049639 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66049596 and 66049605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66049601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195825 + ... + 196161.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^66049641 is an apocalyptic number.

66049641 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

66049641 is a deficient number, since it is larger than the sum of its proper divisors (54656919).

66049641 is a wasteful number, since it uses less digits than its factorization.

66049641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66049641 is about 8127.0930227234. The cubic root of 66049641 is about 404.2252954568.

The spelling of 66049641 in words is "sixty-six million, forty-nine thousand, six hundred forty-one".