4642648164 has 672 divisors, whose sum is σ = 16922787840. Its totient is φ = 1077753600.

The previous prime is 4642648159. The next prime is 4642648169. The reversal of 4642648164 is 4618462464.

4642648164 is a `hidden beast` number, since 464 + 26 + 4 + 8 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (4642648159) and next prime (4642648169).

It is not an unprimeable number, because it can be changed into a prime (4642648169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 149762829 + ... + 149762859.

It is an arithmetic number, because the mean of its divisors is an integer number (25182720).

Almost surely, 2^4642648164 is an apocalyptic number.

4642648164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642648164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461393920).

4642648164 is an abundant number, since it is smaller than the sum of its proper divisors (12280139676).

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

4642648164 is a wasteful number, since it uses less digits than its factorization.

4642648164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4642648164 is about 68136.9808840985. The cubic root of 4642648164 is about 1668.2274287479.

The spelling of 4642648164 in words is "four billion, six hundred forty-two million, six hundred forty-eight thousand, one hundred sixty-four".