4868634720 has 192 divisors, whose sum is σ = 15634612224. Its totient is φ = 1273251840.

The previous prime is 4868634707. The next prime is 4868634739. The reversal of 4868634720 is 274368684.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4868634720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12711649 + ... + 12712031.

It is an arithmetic number, because the mean of its divisors is an integer number (81430272).

Almost surely, 2^4868634720 is an apocalyptic number.

4868634720 is a gapful number since it is divisible by the number (40) 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 4868634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817306112).

4868634720 is an abundant number, since it is smaller than the sum of its proper divisors (10765977504).

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

4868634720 is a wasteful number, since it uses less digits than its factorization.

4868634720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 4868634720 is about 69775.6026129477. The cubic root of 4868634720 is about 1694.8674168187.

The spelling of 4868634720 in words is "four billion, eight hundred sixty-eight million, six hundred thirty-four thousand, seven hundred twenty".