4961919768 has 288 divisors, whose sum is σ = 14828270400. Its totient is φ = 1378840320.

The previous prime is 4961919751. The next prime is 4961919779. The reversal of 4961919768 is 8679191694.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74058471 + ... + 74058537.

It is an arithmetic number, because the mean of its divisors is an integer number (51487050).

Almost surely, 2^4961919768 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 4961919768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414135200).

4961919768 is an abundant number, since it is smaller than the sum of its proper divisors (9866350632).

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

4961919768 is a wasteful number, since it uses less digits than its factorization.

4961919768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 135 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The square root of 4961919768 is about 70440.8955650054. The cubic root of 4961919768 is about 1705.6237937886.

The spelling of 4961919768 in words is "four billion, nine hundred sixty-one million, nine hundred nineteen thousand, seven hundred sixty-eight".