4318645876920 has 768 divisors, whose sum is σ = 16074059489280. Its totient is φ = 999161856000.

The previous prime is 4318645876879. The next prime is 4318645876927. The reversal of 4318645876920 is 296785468134.

4318645876920 is a `hidden beast` number, since 4 + 31 + 86 + 458 + 76 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4318645876927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1121432995 + ... + 1121436845.

It is an arithmetic number, because the mean of its divisors is an integer number (20929764960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4318645876920 = 8637291753840, but 3⋅4318645876920 = 12955937630760 is not.

Almost surely, 2^{4318645876920} is an apocalyptic number.

4318645876920 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 4318645876920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037029744640).

4318645876920 is an abundant number, since it is smaller than the sum of its proper divisors (11755413612360).

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

4318645876920 is a wasteful number, since it uses less digits than its factorization.

4318645876920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4318645876920 in words is "four trillion, three hundred eighteen billion, six hundred forty-five million, eight hundred seventy-six thousand, nine hundred twenty".