476793966096 has 960 divisors, whose sum is σ = 1720068480000. Its totient is φ = 122708017152.

The previous prime is 476793966091. The next prime is 476793966101. The reversal of 476793966096 is 690669397674.

476793966096 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 9 + 3 + 9 + 6 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (476793966091) and next prime (476793966101).

It is a super-2 number, since 2×476793966096² (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 (476793966091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3199959430 + ... + 3199959578.

It is an arithmetic number, because the mean of its divisors is an integer number (1791738000).

Almost surely, 2^476793966096 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 476793966096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860034240000).

476793966096 is an abundant number, since it is smaller than the sum of its proper divisors (1243274513904).

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

476793966096 is a wasteful number, since it uses less digits than its factorization.

476793966096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 476793966096 in words is "four hundred seventy-six billion, seven hundred ninety-three million, nine hundred sixty-six thousand, ninety-six".