473529628800 has 1152 divisors, whose sum is σ = 1819680408000. Its totient is φ = 121529548800.

The previous prime is 473529628751. The next prime is 473529628801. The reversal of 473529628800 is 8826925374.

473529628800 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 2 + 9 + 628 + 8 + 0 + 0 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (473529628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3178051126 + ... + 3178051274.

Almost surely, 2^473529628800 is an apocalyptic number.

473529628800 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 473529628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909840204000).

473529628800 is an abundant number, since it is smaller than the sum of its proper divisors (1346150779200).

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

473529628800 is a wasteful number, since it uses less digits than its factorization.

473529628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 473529628800 in words is "four hundred seventy-three billion, five hundred twenty-nine million, six hundred twenty-eight thousand, eight hundred".