4966367328 has 144 divisors (see below), whose sum is σ = 15621003216. Its totient is φ = 1486771200.

The previous prime is 4966367323. The next prime is 4966367353. The reversal of 4966367328 is 8237636694.

4966367328 is a `hidden beast` number, since 496 + 63 + 6 + 73 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966367323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120603 + ... + 156453.

It is an arithmetic number, because the mean of its divisors is an integer number (108479189).

Almost surely, 2^4966367328 is an apocalyptic number.

4966367328 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 4966367328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810501608).

4966367328 is an abundant number, since it is smaller than the sum of its proper divisors (10654635888).

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

4966367328 is a wasteful number, since it uses less digits than its factorization.

4966367328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35917 (or 35906 counting only the distinct ones).

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

The square root of 4966367328 is about 70472.4579392545. The cubic root of 4966367328 is about 1706.1332470609.

The spelling of 4966367328 in words is "four billion, nine hundred sixty-six million, three hundred sixty-seven thousand, three hundred twenty-eight".