473585688576 has 2240 divisors, whose sum is σ = 2046158585856. Its totient is φ = 105106636800.

The previous prime is 473585688481. The next prime is 473585688601. The reversal of 473585688576 is 675886585374.

473585688576 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 8 + 568 + 8 + 57 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1354752000) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 15276957681 + ... + 15276957711.

Almost surely, 2^473585688576 is an apocalyptic number.

473585688576 is a gapful number since it is divisible by the number (46) 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 473585688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023079292928).

473585688576 is an abundant number, since it is smaller than the sum of its proper divisors (1572572897280).

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

473585688576 is a wasteful number, since it uses less digits than its factorization.

473585688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 72.

The spelling of 473585688576 in words is "four hundred seventy-three billion, five hundred eighty-five million, six hundred eighty-eight thousand, five hundred seventy-six".