474333511680 has 1632 divisors, whose sum is σ = 2088546130944. Its totient is φ = 100902371328.

The previous prime is 474333511667. The next prime is 474333511733. The reversal of 474333511680 is 86115333474.

474333511680 is a `hidden beast` number, since 4 + 7 + 43 + 33 + 511 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12819824622 + ... + 12819824658.

Almost surely, 2^474333511680 is an apocalyptic number.

474333511680 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 474333511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044273065472).

474333511680 is an abundant number, since it is smaller than the sum of its proper divisors (1614212619264).

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

474333511680 is an frugal number, since it uses more digits than its factorization.

474333511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 474333511680 in words is "four hundred seventy-four billion, three hundred thirty-three million, five hundred eleven thousand, six hundred eighty".