474209777347488 has 2304 divisors, whose sum is σ = 1782828343296000. Its totient is φ = 123194996305920.

The previous prime is 474209777347477. The next prime is 474209777347511. The reversal of 474209777347488 is 884743777902474.

474209777347488 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 0 + 9 + 77 + 73 + 474 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1024211181945 + ... + 1024211182407.

It is an arithmetic number, because the mean of its divisors is an integer number (773797024000).

Almost surely, 2^{474209777347488} is an apocalyptic number.

474209777347488 is a gapful number since it is divisible by the number (48) 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 474209777347488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891414171648000).

474209777347488 is an abundant number, since it is smaller than the sum of its proper divisors (1308618565948512).

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

474209777347488 is a wasteful number, since it uses less digits than its factorization.

474209777347488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 14869757952, while the sum is 81.

The spelling of 474209777347488 in words is "four hundred seventy-four trillion, two hundred nine billion, seven hundred seventy-seven million, three hundred forty-seven thousand, four hundred eighty-eight".