416573060832 has 576 divisors, whose sum is σ = 1324249565184. Its totient is φ = 123635957760.

The previous prime is 416573060809. The next prime is 416573060881. The reversal of 416573060832 is 238060375614.

416573060832 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 7 + 3 + 0 + 608 + 32 = 666.

It is a congruent number.

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, 1835123503 + ... + 1835123729.

It is an arithmetic number, because the mean of its divisors is an integer number (2299044384).

Almost surely, 2^416573060832 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 416573060832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662124782592).

416573060832 is an abundant number, since it is smaller than the sum of its proper divisors (907676504352).

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

416573060832 is a wasteful number, since it uses less digits than its factorization.

416573060832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

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

The spelling of 416573060832 in words is "four hundred sixteen billion, five hundred seventy-three million, sixty thousand, eight hundred thirty-two".