61006642208 has 54 divisors (see below), whose sum is σ = 122848900461. Its totient is φ = 29822178304.

The previous prime is 61006642201. The next prime is 61006642211. The reversal of 61006642208 is 80224660016.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 38892572944 + 22114069264 = 197212^2 + 148708^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=174652.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61006642201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65668688 + ... + 65669616.

Almost surely, 2^61006642208 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 61006642208

61006642208 is an abundant number, since it is smaller than the sum of its proper divisors (61842258253).

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

61006642208 is an frugal number, since it uses more digits than its factorization.

61006642208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 61006642208 in words is "sixty-one billion, six million, six hundred forty-two thousand, two hundred eight".