4868437600 has 144 divisors (see below), whose sum is σ = 13356457632. Its totient is φ = 1719336960.

The previous prime is 4868437591. The next prime is 4868437601. The reversal of 4868437600 is 67348684.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868437601) 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, 229024 + ... + 249376.

It is an arithmetic number, because the mean of its divisors is an integer number (92753178).

Almost surely, 2^4868437600 is an apocalyptic number.

4868437600 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 4868437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678228816).

4868437600 is an abundant number, since it is smaller than the sum of its proper divisors (8488020032).

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

4868437600 is a wasteful number, since it uses less digits than its factorization.

4868437600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20409 (or 20396 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 4868437600 is about 69774.1900705411. The cubic root of 4868437600 is about 1694.8445427282.

The spelling of 4868437600 in words is "four billion, eight hundred sixty-eight million, four hundred thirty-seven thousand, six hundred".