4616967168 has 704 divisors, whose sum is σ = 16978636800. Its totient is φ = 1220935680.

The previous prime is 4616967143. The next prime is 4616967191. The reversal of 4616967168 is 8617696164.

It is a happy number.

4616967168 is a `hidden beast` number, since 4 + 616 + 9 + 6 + 7 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 98233321 + ... + 98233367.

Almost surely, 2^4616967168 is an apocalyptic number.

4616967168 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 4616967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489318400).

4616967168 is an abundant number, since it is smaller than the sum of its proper divisors (12361669632).

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

4616967168 is a wasteful number, since it uses less digits than its factorization.

4616967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 4616967168 is about 67948.2683223053. The cubic root of 4616967168 is about 1665.1457838425.

It can be divided in two parts, 461696 and 7168, that added together give a palindrome (468864).

The spelling of 4616967168 in words is "four billion, six hundred sixteen million, nine hundred sixty-seven thousand, one hundred sixty-eight".