4868849664 has 360 divisors, whose sum is σ = 16561752480. Its totient is φ = 1349517312.

The previous prime is 4868849663. The next prime is 4868849723. The reversal of 4868849664 is 4669488684.

4868849664 is a `hidden beast` number, since 4 + 8 + 6 + 88 + 496 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (4868849663) 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, 54706132 + ... + 54706220.

It is an arithmetic number, because the mean of its divisors is an integer number (46004868).

Almost surely, 2^4868849664 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 4868849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280876240).

4868849664 is an abundant number, since it is smaller than the sum of its proper divisors (11692902816).

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

4868849664 is an equidigital number, since it uses as much as digits as its factorization.

4868849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The square root of 4868849664 is about 69777.1428477836. The cubic root of 4868849664 is about 1694.8923585284.

The spelling of 4868849664 in words is "four billion, eight hundred sixty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".