476320653600 has 288 divisors, whose sum is σ = 1715200220160. Its totient is φ = 113844864000.

The previous prime is 476320653593. The next prime is 476320653607. The reversal of 476320653600 is 6356023674.

It is an interprime number because it is at equal distance from previous prime (476320653593) and next prime (476320653607).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (476320653607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747341 + ... + 2001459.

It is an arithmetic number, because the mean of its divisors is an integer number (5955556320).

Almost surely, 2^476320653600 is an apocalyptic number.

476320653600 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 476320653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857600110080).

476320653600 is an abundant number, since it is smaller than the sum of its proper divisors (1238879566560).

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

476320653600 is a wasteful number, since it uses less digits than its factorization.

476320653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254224 (or 254211 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 476320653600 in words is "four hundred seventy-six billion, three hundred twenty million, six hundred fifty-three thousand, six hundred".