4656084160 has 224 divisors, whose sum is σ = 13764280320. Its totient is φ = 1460809728.

The previous prime is 4656084157. The next prime is 4656084193. The reversal of 4656084160 is 614806564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697611 + ... + 3698869.

It is an arithmetic number, because the mean of its divisors is an integer number (61447680).

Almost surely, 2^4656084160 is an apocalyptic number.

4656084160 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 4656084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882140160).

4656084160 is an abundant number, since it is smaller than the sum of its proper divisors (9108196160).

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

4656084160 is a wasteful number, since it uses less digits than its factorization.

4656084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4656084160 is about 68235.5051274628. The cubic root of 4656084160 is about 1669.8351827972.

The spelling of 4656084160 in words is "four billion, six hundred fifty-six million, eighty-four thousand, one hundred sixty".