4660688448 has 672 divisors, whose sum is σ = 16775216640. Its totient is φ = 1220935680.

The previous prime is 4660688441. The next prime is 4660688453. The reversal of 4660688448 is 8448860664.

4660688448 is a `hidden beast` number, since 466 + 0 + 68 + 84 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4660688394 and 4660688403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4660688441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99163561 + ... + 99163607.

It is an arithmetic number, because the mean of its divisors is an integer number (24963120).

Almost surely, 2^4660688448 is an apocalyptic number.

4660688448 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 4660688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387608320).

4660688448 is an abundant number, since it is smaller than the sum of its proper divisors (12114528192).

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

4660688448 is a wasteful number, since it uses less digits than its factorization.

4660688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 4660688448 is about 68269.2350037702. The cubic root of 4660688448 is about 1670.3854212186.

The spelling of 4660688448 in words is "four billion, six hundred sixty million, six hundred eighty-eight thousand, four hundred forty-eight".