4566631968 has 144 divisors (see below), whose sum is σ = 13589372160. Its totient is φ = 1451907072.

The previous prime is 4566631967. The next prime is 4566631997. The reversal of 4566631968 is 8691366654.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4566631967) 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, 3066168 + ... + 3067656.

It is an arithmetic number, because the mean of its divisors is an integer number (94370640).

Almost surely, 2^4566631968 is an apocalyptic number.

4566631968 is a gapful number since it is divisible by the number (48) 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 4566631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794686080).

4566631968 is an abundant number, since it is smaller than the sum of its proper divisors (9022740192).

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

4566631968 is a wasteful number, since it uses less digits than its factorization.

4566631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1980 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 4566631968 is about 67576.8597080391. The cubic root of 4566631968 is about 1659.0723960616.

The spelling of 4566631968 in words is "four billion, five hundred sixty-six million, six hundred thirty-one thousand, nine hundred sixty-eight".