473705038080 has 864 divisors, whose sum is σ = 1841336582400. Its totient is φ = 114918359040.

The previous prime is 473705038069. The next prime is 473705038087. The reversal of 473705038080 is 80830507374.

473705038080 is a `hidden beast` number, since 4 + 73 + 70 + 503 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (473705038087) 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 95 ways as a sum of consecutive naturals, for example, 564606301 + ... + 564607139.

It is an arithmetic number, because the mean of its divisors is an integer number (2131176600).

Almost surely, 2^473705038080 is an apocalyptic number.

473705038080 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 473705038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920668291200).

473705038080 is an abundant number, since it is smaller than the sum of its proper divisors (1367631544320).

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

473705038080 is a wasteful number, since it uses less digits than its factorization.

473705038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 473705038080 in words is "four hundred seventy-three billion, seven hundred five million, thirty-eight thousand, eighty".