475667208016 has 240 divisors, whose sum is σ = 1251247772160. Its totient is φ = 170100103680.

The previous prime is 475667208013. The next prime is 475667208031. The reversal of 475667208016 is 610802766574.

It is a super-2 number, since 2×475667208016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475667208013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37262851 + ... + 37275613.

It is an arithmetic number, because the mean of its divisors is an integer number (5213532384).

Almost surely, 2^475667208016 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 475667208016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625623886080).

475667208016 is an abundant number, since it is smaller than the sum of its proper divisors (775580564144).

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

475667208016 is a wasteful number, since it uses less digits than its factorization.

475667208016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12994 (or 12975 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 475667208016 in words is "four hundred seventy-five billion, six hundred sixty-seven million, two hundred eight thousand, sixteen".