4868724672 has 252 divisors, whose sum is σ = 16837624440. Its totient is φ = 1390846464.

The previous prime is 4868724659. The next prime is 4868724683. The reversal of 4868724672 is 2764278684.

It is a happy number.

4868724672 is a `hidden beast` number, since 486 + 87 + 24 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 758854 + ... + 765242.

It is an arithmetic number, because the mean of its divisors is an integer number (66815970).

Almost surely, 2^4868724672 is an apocalyptic number.

4868724672 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 4868724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418812220).

4868724672 is an abundant number, since it is smaller than the sum of its proper divisors (11968899768).

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

4868724672 is an equidigital number, since it uses as much as digits as its factorization.

4868724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6401 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 4868724672 is about 69776.2471905734. The cubic root of 4868724672 is about 1694.8778547740.

The spelling of 4868724672 in words is "four billion, eight hundred sixty-eight million, seven hundred twenty-four thousand, six hundred seventy-two".