478877242752 has 512 divisors, whose sum is σ = 1571733504000. Its totient is φ = 142916659200.

The previous prime is 478877242751. The next prime is 478877242769. The reversal of 478877242752 is 257242778874.

478877242752 is a `hidden beast` number, since 478 + 8 + 7 + 72 + 42 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 478877242752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478877242751) 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 63 ways as a sum of consecutive naturals, for example, 87527377 + ... + 87532847.

It is an arithmetic number, because the mean of its divisors is an integer number (3069792000).

Almost surely, 2^478877242752 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 478877242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785866752000).

478877242752 is an abundant number, since it is smaller than the sum of its proper divisors (1092856261248).

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

478877242752 is a wasteful number, since it uses less digits than its factorization.

478877242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5569 counting only the distinct ones).

The product of its digits is 98344960, while the sum is 63.

The spelling of 478877242752 in words is "four hundred seventy-eight billion, eight hundred seventy-seven million, two hundred forty-two thousand, seven hundred fifty-two".