475696378368 has 640 divisors, whose sum is σ = 1554200524800. Its totient is φ = 142987493376.

The previous prime is 475696378363. The next prime is 475696378373. The reversal of 475696378368 is 863873696574.

475696378368 is a `hidden beast` number, since 475 + 6 + 96 + 3 + 7 + 8 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (475696378363) and next prime (475696378373).

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

It is a junction number, because it is equal to n+sod(n) for n = 475696378296 and 475696378305.

It is not an unprimeable number, because it can be changed into a prime (475696378363) 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 63 ways as a sum of consecutive naturals, for example, 1519796580 + ... + 1519796892.

It is an arithmetic number, because the mean of its divisors is an integer number (2428438320).

Almost surely, 2^475696378368 is an apocalyptic number.

475696378368 is a gapful number since it is divisible by the number (48) 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 475696378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777100262400).

475696378368 is an abundant number, since it is smaller than the sum of its proper divisors (1078504146432).

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

475696378368 is a wasteful number, since it uses less digits than its factorization.

475696378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 587 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 475696378368 in words is "four hundred seventy-five billion, six hundred ninety-six million, three hundred seventy-eight thousand, three hundred sixty-eight".