473745868800 has 576 divisors, whose sum is σ = 1660968691200. Its totient is φ = 118908518400.

The previous prime is 473745868753. The next prime is 473745868811. The reversal of 473745868800 is 8868547374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176177856 + ... + 176180544.

It is an arithmetic number, because the mean of its divisors is an integer number (2883626200).

Almost surely, 2^473745868800 is an apocalyptic number.

473745868800 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 473745868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830484345600).

473745868800 is an abundant number, since it is smaller than the sum of its proper divisors (1187222822400).

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

473745868800 is a wasteful number, since it uses less digits than its factorization.

473745868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 473745868800 in words is "four hundred seventy-three billion, seven hundred forty-five million, eight hundred sixty-eight thousand, eight hundred".