5146763328 has 504 divisors, whose sum is σ = 18717109632. Its totient is φ = 1370566656.

The previous prime is 5146763327. The next prime is 5146763389. The reversal of 5146763328 is 8233676415.

5146763328 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 7 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146763327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49968525 + ... + 49968627.

Almost surely, 2^5146763328 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 5146763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9358554816).

5146763328 is an abundant number, since it is smaller than the sum of its proper divisors (13570346304).

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

5146763328 is an equidigital number, since it uses as much as digits as its factorization.

5146763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 5146763328 is about 71740.9459653272. The cubic root of 5146763328 is about 1726.5456513098.

The spelling of 5146763328 in words is "five billion, one hundred forty-six million, seven hundred sixty-three thousand, three hundred twenty-eight".