475616161800 has 384 divisors, whose sum is σ = 1782465081600. Its totient is φ = 115866132480.

The previous prime is 475616161763. The next prime is 475616161871. The reversal of 475616161800 is 8161616574.

475616161800 is a `hidden beast` number, since 4 + 7 + 5 + 616 + 16 + 18 + 0 + 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, 6774477 + ... + 6844323.

It is an arithmetic number, because the mean of its divisors is an integer number (4641836150).

Almost surely, 2^475616161800 is an apocalyptic number.

475616161800 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 475616161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891232540800).

475616161800 is an abundant number, since it is smaller than the sum of its proper divisors (1306848919800).

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

475616161800 is a wasteful number, since it uses less digits than its factorization.

475616161800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69982 (or 69967 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 475616161800 in words is "four hundred seventy-five billion, six hundred sixteen million, one hundred sixty-one thousand, eight hundred".