4926633768 has 288 divisors, whose sum is σ = 16146449280. Its totient is φ = 1328140800.

The previous prime is 4926633763. The next prime is 4926633809. The reversal of 4926633768 is 8673366294.

4926633768 is a `hidden beast` number, since 4 + 9 + 266 + 3 + 376 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4926633763) 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, 69389173 + ... + 69389243.

It is an arithmetic number, because the mean of its divisors is an integer number (56064060).

Almost surely, 2^4926633768 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 4926633768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073224640).

4926633768 is an abundant number, since it is smaller than the sum of its proper divisors (11219815512).

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

4926633768 is a wasteful number, since it uses less digits than its factorization.

4926633768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 181 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 4926633768 is about 70189.9833879450. The cubic root of 4926633768 is about 1701.5710698954.

The spelling of 4926633768 in words is "four billion, nine hundred twenty-six million, six hundred thirty-three thousand, seven hundred sixty-eight".