475499977344 has 256 divisors, whose sum is σ = 1641171840000. Its totient is φ = 132697377792.

The previous prime is 475499977331. The next prime is 475499977349. The reversal of 475499977344 is 443779994574.

475499977344 is a `hidden beast` number, since 4 + 7 + 5 + 499 + 97 + 7 + 3 + 44 = 666.

It is a super-2 number, since 2×475499977344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (475499977349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811707 + ... + 1268805.

It is an arithmetic number, because the mean of its divisors is an integer number (6410827500).

Almost surely, 2^475499977344 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 475499977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820585920000).

475499977344 is an abundant number, since it is smaller than the sum of its proper divisors (1165671862656).

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

475499977344 is a wasteful number, since it uses less digits than its factorization.

475499977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457172 (or 457154 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 475499977344 in words is "four hundred seventy-five billion, four hundred ninety-nine million, nine hundred seventy-seven thousand, three hundred forty-four".