4616867808 has 336 divisors, whose sum is σ = 15920200800. Its totient is φ = 1316818944.

The previous prime is 4616867753. The next prime is 4616867821. The reversal of 4616867808 is 8087686164.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8001216 + ... + 8001792.

It is an arithmetic number, because the mean of its divisors is an integer number (47381550).

Almost surely, 2^4616867808 is an apocalyptic number.

4616867808 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 4616867808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960100400).

4616867808 is an abundant number, since it is smaller than the sum of its proper divisors (11303332992).

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

4616867808 is an frugal number, since it uses more digits than its factorization.

4616867808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4616867808 is about 67947.5371739109. The cubic root of 4616867808 is about 1665.1338387665.

The spelling of 4616867808 in words is "four billion, six hundred sixteen million, eight hundred sixty-seven thousand, eight hundred eight".