475311732480 has 1152 divisors, whose sum is σ = 1893916765440. Its totient is φ = 113515167744.

The previous prime is 475311732439. The next prime is 475311732559. The reversal of 475311732480 is 84237113574.

475311732480 is a `hidden beast` number, since 4 + 7 + 5 + 311 + 7 + 324 + 8 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1346491984 + ... + 1346492336.

It is an arithmetic number, because the mean of its divisors is an integer number (1644024970).

Almost surely, 2^475311732480 is an apocalyptic number.

475311732480 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 475311732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946958382720).

475311732480 is an abundant number, since it is smaller than the sum of its proper divisors (1418605032960).

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

475311732480 is an equidigital number, since it uses as much as digits as its factorization.

475311732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 413 counting only the distinct ones).

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

The spelling of 475311732480 in words is "four hundred seventy-five billion, three hundred eleven million, seven hundred thirty-two thousand, four hundred eighty".