4871764800 has 504 divisors, whose sum is σ = 20960462016. Its totient is φ = 1047674880.

The previous prime is 4871764789. The next prime is 4871764801. The reversal of 4871764800 is 84671784.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4871764801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1712179 + ... + 1715021.

Almost surely, 2^4871764800 is an apocalyptic number.

4871764800 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 4871764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480231008).

4871764800 is an abundant number, since it is smaller than the sum of its proper divisors (16088697216).

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

4871764800 is a wasteful number, since it uses less digits than its factorization.

4871764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4871764800 is about 69798.0286254562. The cubic root of 4871764800 is about 1695.2305531273.

The spelling of 4871764800 in words is "four billion, eight hundred seventy-one million, seven hundred sixty-four thousand, eight hundred".