4657227564 has 96 divisors (see below), whose sum is σ = 12075259392. Its totient is φ = 1396824000.

The previous prime is 4657227563. The next prime is 4657227587.

4657227564 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4657227563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611729 + ... + 1614615.

It is an arithmetic number, because the mean of its divisors is an integer number (125783952).

Almost surely, 2^4657227564 is an apocalyptic number.

4657227564 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 4657227564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037629696).

4657227564 is an abundant number, since it is smaller than the sum of its proper divisors (7418031828).

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

4657227564 is a wasteful number, since it uses less digits than its factorization.

4657227564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3004 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 4657227564 is about 68243.8829786231. The cubic root of 4657227564 is about 1669.9718598770.

It can be divided in two parts, 4657 and 227564, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 4657227564 in words is "four billion, six hundred fifty-seven million, two hundred twenty-seven thousand, five hundred sixty-four".