4661160864 has 192 divisors, whose sum is σ = 13554293760. Its totient is φ = 1395947520.

The previous prime is 4661160821. The next prime is 4661160869. The reversal of 4661160864 is 4680611664.

It is not an unprimeable number, because it can be changed into a prime (4661160869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5747019 + ... + 5747829.

It is an arithmetic number, because the mean of its divisors is an integer number (70595280).

Almost surely, 2^4661160864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4661160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777146880).

4661160864 is an abundant number, since it is smaller than the sum of its proper divisors (8893132896).

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

4661160864 is a wasteful number, since it uses less digits than its factorization.

4661160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4661160864 is about 68272.6948640523. The cubic root of 4661160864 is about 1670.4418570969.

The spelling of 4661160864 in words is "four billion, six hundred sixty-one million, one hundred sixty thousand, eight hundred sixty-four".