474665405760 has 1008 divisors, whose sum is σ = 2038223056896. Its totient is φ = 99270033408.

The previous prime is 474665405707. The next prime is 474665405761. The reversal of 474665405760 is 67504566474.

474665405760 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 65 + 4 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 474665405697 and 474665405706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474665405761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432693532 + ... + 432694628.

Almost surely, 2^474665405760 is an apocalyptic number.

474665405760 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 474665405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019111528448).

474665405760 is an abundant number, since it is smaller than the sum of its proper divisors (1563557651136).

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

474665405760 is a wasteful number, since it uses less digits than its factorization.

474665405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 474665405760 in words is "four hundred seventy-four billion, six hundred sixty-five million, four hundred five thousand, seven hundred sixty".