4918364478720 has 3024 divisors, whose sum is σ = 22819909324800. Its totient is φ = 1013950586880.

The previous prime is 4918364478719. The next prime is 4918364478721. The reversal of 4918364478720 is 278744638194.

4918364478720 is a `hidden beast` number, since 4 + 9 + 1 + 83 + 64 + 478 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4918364478719) and next prime (4918364478721).

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4918364478721) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 38727279297 + ... + 38727279423.

Almost surely, 2^{4918364478720} is an apocalyptic number.

4918364478720 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 4918364478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409954662400).

4918364478720 is an abundant number, since it is smaller than the sum of its proper divisors (17901544846080).

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

4918364478720 is an equidigital number, since it uses as much as digits as its factorization.

4918364478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4918364478720 in words is "four trillion, nine hundred eighteen billion, three hundred sixty-four million, four hundred seventy-eight thousand, seven hundred twenty".