479778281136 has 800 divisors, whose sum is σ = 1787660582400. Its totient is φ = 120608870400.

The previous prime is 479778281131. The next prime is 479778281149. The reversal of 479778281136 is 631182877974.

479778281136 is a `hidden beast` number, since 479 + 7 + 7 + 8 + 28 + 1 + 136 = 666.

479778281136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (479778281131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 609628935 + ... + 609629721.

It is an arithmetic number, because the mean of its divisors is an integer number (2234575728).

Almost surely, 2^479778281136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479778281136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893830291200).

479778281136 is an abundant number, since it is smaller than the sum of its proper divisors (1307882301264).

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

479778281136 is a wasteful number, since it uses less digits than its factorization.

479778281136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 479778281136 in words is "four hundred seventy-nine billion, seven hundred seventy-eight million, two hundred eighty-one thousand, one hundred thirty-six".