474105175680 has 256 divisors, whose sum is σ = 1548123033600. Its totient is φ = 123346685952.

The previous prime is 474105175679. The next prime is 474105175697. The reversal of 474105175680 is 86571501474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85777077 + ... + 85782603.

It is an arithmetic number, because the mean of its divisors is an integer number (6047355600).

Almost surely, 2^474105175680 is an apocalyptic number.

474105175680 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 474105175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774061516800).

474105175680 is an abundant number, since it is smaller than the sum of its proper divisors (1074017857920).

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

474105175680 is a wasteful number, since it uses less digits than its factorization.

474105175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 474105175680 in words is "four hundred seventy-four billion, one hundred five million, one hundred seventy-five thousand, six hundred eighty".