4631433768 has 256 divisors, whose sum is σ = 14902272000. Its totient is φ = 1320613632.

The previous prime is 4631433761. The next prime is 4631433817. The reversal of 4631433768 is 8673341364.

4631433768 is a `hidden beast` number, since 4 + 631 + 4 + 3 + 3 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4631433761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2506621 + ... + 2508467.

It is an arithmetic number, because the mean of its divisors is an integer number (58212000).

Almost surely, 2^4631433768 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 4631433768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136000).

4631433768 is an abundant number, since it is smaller than the sum of its proper divisors (10270838232).

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

4631433768 is a wasteful number, since it uses less digits than its factorization.

4631433768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1931 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 4631433768 is about 68054.6381079203. The cubic root of 4631433768 is about 1666.8831351547.

The spelling of 4631433768 in words is "four billion, six hundred thirty-one million, four hundred thirty-three thousand, seven hundred sixty-eight".