4656488640 has 112 divisors (see below), whose sum is σ = 14841370368. Its totient is φ = 1236941824.

The previous prime is 4656488609. The next prime is 4656488647. The reversal of 4656488640 is 468846564.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4656488647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243259 + ... + 261701.

Almost surely, 2^4656488640 is an apocalyptic number.

4656488640 is a gapful number since it is divisible by the number (40) 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 4656488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420685184).

4656488640 is an abundant number, since it is smaller than the sum of its proper divisors (10184881728).

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

4656488640 is a wasteful number, since it uses less digits than its factorization.

4656488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726 (or 18716 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The square root of 4656488640 is about 68238.4689160007. The cubic root of 4656488640 is about 1669.8835349714.

The spelling of 4656488640 in words is "four billion, six hundred fifty-six million, four hundred eighty-eight thousand, six hundred forty".