476212825740960 has 2304 divisors, whose sum is σ = 2199464539324416. Its totient is φ = 94411215360000.

The previous prime is 476212825740959. The next prime is 476212825741007. The reversal of 476212825740960 is 69047528212674.

476212825740960 is a `hidden beast` number, since 4 + 7 + 6 + 212 + 8 + 2 + 5 + 7 + 409 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6589229625 + ... + 6589301895.

It is an arithmetic number, because the mean of its divisors is an integer number (954628706304).

Almost surely, 2^{476212825740960} is an apocalyptic number.

476212825740960 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 476212825740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099732269662208).

476212825740960 is an abundant number, since it is smaller than the sum of its proper divisors (1723251713583456).

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

476212825740960 is a wasteful number, since it uses less digits than its factorization.

476212825740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72421 (or 72401 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 476212825740960 in words is "four hundred seventy-six trillion, two hundred twelve billion, eight hundred twenty-five million, seven hundred forty thousand, nine hundred sixty".