4861793664 has 320 divisors, whose sum is σ = 17810987040. Its totient is φ = 1281982464.

The previous prime is 4861793627. The next prime is 4861793669. The reversal of 4861793664 is 4663971684.

4861793664 is a `hidden beast` number, since 486 + 1 + 79 + 36 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4861793664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861793669) 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 39 ways as a sum of consecutive naturals, for example, 940912 + ... + 946064.

Almost surely, 2^4861793664 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 4861793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905493520).

4861793664 is an abundant number, since it is smaller than the sum of its proper divisors (12949193376).

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

4861793664 is a wasteful number, since it uses less digits than its factorization.

4861793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5178 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4861793664 is about 69726.5635464706. The cubic root of 4861793664 is about 1694.0732093736.

The spelling of 4861793664 in words is "four billion, eight hundred sixty-one million, seven hundred ninety-three thousand, six hundred sixty-four".