4863700800 has 756 divisors, whose sum is σ = 20619596556. Its totient is φ = 1083801600.

The previous prime is 4863700781. The next prime is 4863700811. The reversal of 4863700800 is 80073684.

It can be written as a sum of positive squares in 6 ways, for example, as 2357296704 + 2506404096 = 48552^2 + 50064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43041544 + ... + 43041656.

Almost surely, 2^4863700800 is an apocalyptic number.

4863700800 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 4863700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309798278).

4863700800 is an abundant number, since it is smaller than the sum of its proper divisors (15755895756).

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

4863700800 is a wasteful number, since it uses less digits than its factorization.

4863700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4863700800 is about 69740.2380265511. The cubic root of 4863700800 is about 1694.2946918049.

The spelling of 4863700800 in words is "four billion, eight hundred sixty-three million, seven hundred thousand, eight hundred".