4861688832 has 1056 divisors, whose sum is σ = 20600745984. Its totient is φ = 1061683200.

The previous prime is 4861688831. The next prime is 4861688851. The reversal of 4861688832 is 2388861684.

4861688832 is a `hidden beast` number, since 486 + 1 + 6 + 88 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861688831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156828657 + ... + 156828687.

Almost surely, 2^4861688832 is an apocalyptic number.

4861688832 is a gapful number since it is divisible by the number (42) 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 4861688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300372992).

4861688832 is an abundant number, since it is smaller than the sum of its proper divisors (15739057152).

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

4861688832 is a wasteful number, since it uses less digits than its factorization.

4861688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4861688832 is about 69725.8118059589. The cubic root of 4861688832 is about 1694.0610331844.

The spelling of 4861688832 in words is "four billion, eight hundred sixty-one million, six hundred eighty-eight thousand, eight hundred thirty-two".