478820777760 has 288 divisors, whose sum is σ = 1814705182080. Its totient is φ = 117863396352.

The previous prime is 478820777753. The next prime is 478820777761. The reversal of 478820777760 is 67777028874.

478820777760 is a `hidden beast` number, since 478 + 8 + 20 + 7 + 77 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (478820777761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402157 + ... + 1058003.

It is an arithmetic number, because the mean of its divisors is an integer number (6301059660).

Almost surely, 2^478820777760 is an apocalyptic number.

478820777760 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 478820777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907352591040).

478820777760 is an abundant number, since it is smaller than the sum of its proper divisors (1335884404320).

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

478820777760 is a wasteful number, since it uses less digits than its factorization.

478820777760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655897 (or 655870 counting only the distinct ones).

The product of its (nonzero) digits is 51631104, while the sum is 63.

The spelling of 478820777760 in words is "four hundred seventy-eight billion, eight hundred twenty million, seven hundred seventy-seven thousand, seven hundred sixty".