4618579680 has 432 divisors, whose sum is σ = 18665730720. Its totient is φ = 1033021440.

The previous prime is 4618579673. The next prime is 4618579687. The reversal of 4618579680 is 869758164.

4618579680 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 579 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4618579673) and next prime (4618579687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4618579687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2264101 + ... + 2266139.

It is an arithmetic number, because the mean of its divisors is an integer number (43207710).

Almost surely, 2^4618579680 is an apocalyptic number.

4618579680 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 4618579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332865360).

4618579680 is an abundant number, since it is smaller than the sum of its proper divisors (14047151040).

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

4618579680 is a wasteful number, since it uses less digits than its factorization.

4618579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4618579680 is about 67960.1330192930. The cubic root of 4618579680 is about 1665.3396163540.

The spelling of 4618579680 in words is "four billion, six hundred eighteen million, five hundred seventy-nine thousand, six hundred eighty".