478785195786240 has 5760 divisors, whose sum is σ = 2180831937822720. Its totient is φ = 98379812044800.

The previous prime is 478785195786229. The next prime is 478785195786323. The reversal of 478785195786240 is 42687591587874.

478785195786240 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 8 + 5 + 19 + 578 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 478785195786240.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6060572098521 + ... + 6060572098599.

It is an arithmetic number, because the mean of its divisors is an integer number (378616655872).

Almost surely, 2^{478785195786240} is an apocalyptic number.

478785195786240 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 478785195786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090415968911360).

478785195786240 is an abundant number, since it is smaller than the sum of its proper divisors (1702046742036480).

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

478785195786240 is an equidigital number, since it uses as much as digits as its factorization.

478785195786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7586611200, while the sum is 81.

The spelling of 478785195786240 in words is "four hundred seventy-eight trillion, seven hundred eighty-five billion, one hundred ninety-five million, seven hundred eighty-six thousand, two hundred forty".