474744325406720 has 176 divisors, whose sum is σ = 1163629574929728. Its totient is φ = 185857159987200.

The previous prime is 474744325406639. The next prime is 474744325406773. The reversal of 474744325406720 is 27604523447474.

It is a super-3 number, since 3×474744325406720³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 474744325406720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492349070 + ... + 493312370.

Almost surely, 2^{474744325406720} is an apocalyptic number.

474744325406720 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 474744325406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581814787464864).

474744325406720 is an abundant number, since it is smaller than the sum of its proper divisors (688885249523008).

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

474744325406720 is an frugal number, since it uses more digits than its factorization.

474744325406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963395 (or 963355 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 59.

The spelling of 474744325406720 in words is "four hundred seventy-four trillion, seven hundred forty-four billion, three hundred twenty-five million, four hundred six thousand, seven hundred twenty".