4812193764 has 216 divisors, whose sum is σ = 15411614400. Its totient is φ = 1257379200.

The previous prime is 4812193759. The next prime is 4812193807. The reversal of 4812193764 is 4673912184.

4812193764 is a `hidden beast` number, since 481 + 21 + 93 + 7 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 969489 + ... + 974439.

Almost surely, 2^4812193764 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 4812193764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705807200).

4812193764 is an abundant number, since it is smaller than the sum of its proper divisors (10599420636).

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

4812193764 is a wasteful number, since it uses less digits than its factorization.

4812193764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5011 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4812193764 is about 69369.9773965654. The cubic root of 4812193764 is about 1688.2925420253.

The spelling of 4812193764 in words is "four billion, eight hundred twelve million, one hundred ninety-three thousand, seven hundred sixty-four".