474791138674776 has 288 divisors, whose sum is σ = 1615374957050400. Its totient is φ = 123319418112000.

The previous prime is 474791138674771. The next prime is 474791138674837. The reversal of 474791138674776 is 677476831197474.

474791138674776 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 9 + 1 + 138 + 6 + 7 + 477 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 474791138674695 and 474791138674704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474791138674771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3841259376 + ... + 3841382976.

Almost surely, 2^{474791138674776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474791138674776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807687478525200).

474791138674776 is an abundant number, since it is smaller than the sum of its proper divisors (1140583818375624).

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

474791138674776 is a wasteful number, since it uses less digits than its factorization.

474791138674776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186631 (or 186613 counting only the distinct ones).

The product of its digits is 8364238848, while the sum is 81.

The spelling of 474791138674776 in words is "four hundred seventy-four trillion, seven hundred ninety-one billion, one hundred thirty-eight million, six hundred seventy-four thousand, seven hundred seventy-six".