476469540000 has 1440 divisors, whose sum is σ = 1908478091520. Its totient is φ = 116453376000.

The previous prime is 476469539981. The next prime is 476469540049. The reversal of 476469540000 is 45964674.

476469540000 is a `hidden beast` number, since 47 + 6 + 4 + 69 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6031259961 + ... + 6031260039.

It is an arithmetic number, because the mean of its divisors is an integer number (1325332008).

Almost surely, 2^476469540000 is an apocalyptic number.

476469540000 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 476469540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954239045760).

476469540000 is an abundant number, since it is smaller than the sum of its proper divisors (1432008551520).

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

476469540000 is an equidigital number, since it uses as much as digits as its factorization.

476469540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 476469540000 in words is "four hundred seventy-six billion, four hundred sixty-nine million, five hundred forty thousand".