4676433948 has 72 divisors (see below), whose sum is σ = 12217645440. Its totient is φ = 1506631680.

The previous prime is 4676433887. The next prime is 4676433953. The reversal of 4676433948 is 8493346764.

4676433948 is a `hidden beast` number, since 467 + 64 + 33 + 94 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4676433894 and 4676433903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088188 + ... + 1092476.

It is an arithmetic number, because the mean of its divisors is an integer number (169689520).

Almost surely, 2^4676433948 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 4676433948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108822720).

4676433948 is an abundant number, since it is smaller than the sum of its proper divisors (7541211492).

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

4676433948 is a wasteful number, since it uses less digits than its factorization.

4676433948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5302 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 4676433948 is about 68384.4569182208. The cubic root of 4676433948 is about 1672.2643632986.

The spelling of 4676433948 in words is "four billion, six hundred seventy-six million, four hundred thirty-three thousand, nine hundred forty-eight".