4766131968 has 144 divisors (see below), whose sum is σ = 14464701216. Its totient is φ = 1380188160.

The previous prime is 4766131963. The next prime is 4766131999. The reversal of 4766131968 is 8691316674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4766131968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766131963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155688 + ... + 183768.

It is an arithmetic number, because the mean of its divisors is an integer number (100449314).

Almost surely, 2^4766131968 is an apocalyptic number.

4766131968 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 4766131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232350608).

4766131968 is an abundant number, since it is smaller than the sum of its proper divisors (9698569248).

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

4766131968 is a wasteful number, since it uses less digits than its factorization.

4766131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28130 (or 28116 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 4766131968 is about 69037.1781578593. The cubic root of 4766131968 is about 1682.8885454080. Note that the first 3 decimals are identical.

The spelling of 4766131968 in words is "four billion, seven hundred sixty-six million, one hundred thirty-one thousand, nine hundred sixty-eight".