4718788630800 has 60 divisors (see below), whose sum is σ = 15115852917840. Its totient is φ = 1258343634560.

The previous prime is 4718788630739. The next prime is 4718788630807. The reversal of 4718788630800 is 80368878174.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4718788630800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4718788630807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966160730 + ... + 1966163129.

It is an arithmetic number, because the mean of its divisors is an integer number (251930881964).

Almost surely, 2^{4718788630800} is an apocalyptic number.

4718788630800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4718788630800 is an abundant number, since it is smaller than the sum of its proper divisors (10397064287040).

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

4718788630800 is a wasteful number, since it uses less digits than its factorization.

4718788630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932323880 (or 3932323869 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 4718788630800 in words is "four trillion, seven hundred eighteen billion, seven hundred eighty-eight million, six hundred thirty thousand, eight hundred".