4606006064 has 20 divisors (see below), whose sum is σ = 9735422280. Its totient is φ = 2093639040.

The previous prime is 4606006057. The next prime is 4606006109.

It is a happy number.

4606006064 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4606006064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13085069 + ... + 13085420.

It is an arithmetic number, because the mean of its divisors is an integer number (486771114).

Almost surely, 2^4606006064 is an apocalyptic number.

4606006064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4606006064 is an abundant number, since it is smaller than the sum of its proper divisors (5129416216).

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

4606006064 is a wasteful number, since it uses less digits than its factorization.

4606006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26170508 (or 26170502 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 4606006064 is about 67867.5626790885. The cubic root of 4606006064 is about 1663.8270033262.

It can be divided in two parts, 460600 and 6064, that added together give a palindrome (466664).

The spelling of 4606006064 in words is "four billion, six hundred six million, six thousand, sixty-four".