476642396160 has 1152 divisors, whose sum is σ = 1992505132800. Its totient is φ = 107760844800.

The previous prime is 476642396117. The next prime is 476642396171. The reversal of 476642396160 is 61693246674.

It is a happy number.

476642396160 is a `hidden beast` number, since 4 + 76 + 6 + 423 + 96 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 476642396097 and 476642396106.

It is an unprimeable number.

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, 2045675404 + ... + 2045675636.

It is an arithmetic number, because the mean of its divisors is an integer number (1729605150).

Almost surely, 2^476642396160 is an apocalyptic number.

476642396160 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 476642396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996252566400).

476642396160 is an abundant number, since it is smaller than the sum of its proper divisors (1515862736640).

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

476642396160 is a wasteful number, since it uses less digits than its factorization.

476642396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 476642396160 in words is "four hundred seventy-six billion, six hundred forty-two million, three hundred ninety-six thousand, one hundred sixty".