4660725888 has 384 divisors, whose sum is σ = 17233332480. Its totient is φ = 1175150592.

The previous prime is 4660725887. The next prime is 4660725913. The reversal of 4660725888 is 8885270664.

4660725888 is a `hidden beast` number, since 4 + 6 + 607 + 25 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4660725887) 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 47 ways as a sum of consecutive naturals, for example, 2410170 + ... + 2412102.

It is an arithmetic number, because the mean of its divisors is an integer number (44878470).

Almost surely, 2^4660725888 is an apocalyptic number.

4660725888 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 4660725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616666240).

4660725888 is an abundant number, since it is smaller than the sum of its proper divisors (12572606592).

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

4660725888 is a wasteful number, since it uses less digits than its factorization.

4660725888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 4660725888 is about 68269.5092116532. The cubic root of 4660725888 is about 1670.3898940244.

The spelling of 4660725888 in words is "four billion, six hundred sixty million, seven hundred twenty-five thousand, eight hundred eighty-eight".