476879203008 has 672 divisors, whose sum is σ = 1627894981440. Its totient is φ = 137932554240.

The previous prime is 476879203001. The next prime is 476879203013. The reversal of 476879203008 is 800302978674.

476879203008 is a `hidden beast` number, since 476 + 87 + 92 + 0 + 3 + 0 + 0 + 8 = 666.

476879203008 is digitally balanced in base 7, 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 (54).

It is not an unprimeable number, because it can be changed into a prime (476879203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580851238 + ... + 580852058.

It is an arithmetic number, because the mean of its divisors is an integer number (2422462770).

Almost surely, 2^476879203008 is an apocalyptic number.

476879203008 is a gapful number since it is divisible by the number (48) 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 476879203008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813947490720).

476879203008 is an abundant number, since it is smaller than the sum of its proper divisors (1151015778432).

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

476879203008 is an equidigital number, since it uses as much as digits as its factorization.

476879203008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 476879203008 in words is "four hundred seventy-six billion, eight hundred seventy-nine million, two hundred three thousand, eight".