476286720000 has 1920 divisors, whose sum is σ = 2063219558400. Its totient is φ = 94961664000.

The previous prime is 476286719939. The next prime is 476286720001. The reversal of 476286720000 is 27682674.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476286720001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 10133759977 + ... + 10133760023.

It is an arithmetic number, because the mean of its divisors is an integer number (1074593520).

Almost surely, 2^476286720000 is an apocalyptic number.

476286720000 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 476286720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031609779200).

476286720000 is an abundant number, since it is smaller than the sum of its proper divisors (1586932838400).

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

476286720000 is a wasteful number, since it uses less digits than its factorization.

476286720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 476286720000 in words is "four hundred seventy-six billion, two hundred eighty-six million, seven hundred twenty thousand".