61824789009 has 24 divisors (see below), whose sum is σ = 91063044072. Its totient is φ = 40405248000.

The previous prime is 61824789001. The next prime is 61824789011. The reversal of 61824789009 is 90098742816.

61824789009 is a `hidden beast` number, since 6 + 1 + 82 + 478 + 90 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29963610000 + 31861179009 = 173100^2 + 178497^2 .

It is not a de Polignac number, because 61824789009 - 2³ = 61824789001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61824789001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527259 + ... + 633759.

It is an arithmetic number, because the mean of its divisors is an integer number (3794293503).

Almost surely, 2^61824789009 is an apocalyptic number.

It is an amenable number.

61824789009 is a deficient number, since it is larger than the sum of its proper divisors (29238255063).

61824789009 is a wasteful number, since it uses less digits than its factorization.

61824789009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107777 (or 107774 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 61824789009 in words is "sixty-one billion, eight hundred twenty-four million, seven hundred eighty-nine thousand, nine".