475976789084160 has 5760 divisors, whose sum is σ = 2240629975584000. Its totient is φ = 94464494272512.

The previous prime is 475976789084057. The next prime is 475976789084161. The reversal of 475976789084160 is 61480987679574.

475976789084160 is a `hidden beast` number, since 4 + 7 + 59 + 7 + 67 + 8 + 90 + 8 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 475976789084160.

It is not an unprimeable number, because it can be changed into a prime (475976789084161) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1223590717246 + ... + 1223590717634.

It is an arithmetic number, because the mean of its divisors is an integer number (388998259650).

Almost surely, 2^{475976789084160} is an apocalyptic number.

475976789084160 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 475976789084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120314987792000).

475976789084160 is an abundant number, since it is smaller than the sum of its proper divisors (1764653186499840).

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

475976789084160 is a wasteful number, since it uses less digits than its factorization.

475976789084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 475976789084160 in words is "four hundred seventy-five trillion, nine hundred seventy-six billion, seven hundred eighty-nine million, eighty-four thousand, one hundred sixty".