4871865600 has 648 divisors, whose sum is σ = 20441733312. Its totient is φ = 1083801600.

The previous prime is 4871865599. The next prime is 4871865623. The reversal of 4871865600 is 65681784.

It is a happy number.

4871865600 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 86 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17337460 + ... + 17337740.

Almost surely, 2^4871865600 is an apocalyptic number.

4871865600 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 4871865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220866656).

4871865600 is an abundant number, since it is smaller than the sum of its proper divisors (15569867712).

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

4871865600 is a wasteful number, since it uses less digits than its factorization.

4871865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4871865600 is about 69798.7507051523. The cubic root of 4871865600 is about 1695.2422448563.

The spelling of 4871865600 in words is "four billion, eight hundred seventy-one million, eight hundred sixty-five thousand, six hundred".