476365248168264 has 576 divisors, whose sum is σ = 1619548506051840. Its totient is φ = 125377762083840.

The previous prime is 476365248168253. The next prime is 476365248168343. The reversal of 476365248168264 is 462861842563674.

476365248168264 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 6 + 5 + 2 + 481 + 6 + 82 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 476365248168192 and 476365248168201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108933281182 + ... + 108933285554.

It is an arithmetic number, because the mean of its divisors is an integer number (2811716156340).

Almost surely, 2^{476365248168264} 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 476365248168264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809774253025920).

476365248168264 is an abundant number, since it is smaller than the sum of its proper divisors (1143183257883576).

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

476365248168264 is a wasteful number, since it uses less digits than its factorization.

476365248168264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8716 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 72.

The spelling of 476365248168264 in words is "four hundred seventy-six trillion, three hundred sixty-five billion, two hundred forty-eight million, one hundred sixty-eight thousand, two hundred sixty-four".