476846667360 has 960 divisors, whose sum is σ = 2011169986560. Its totient is φ = 105406479360.

The previous prime is 476846667317. The next prime is 476846667421. The reversal of 476846667360 is 63766648674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 321541179 + ... + 321542661.

It is an arithmetic number, because the mean of its divisors is an integer number (2094968736).

Almost surely, 2^476846667360 is an apocalyptic number.

476846667360 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 476846667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005584993280).

476846667360 is an abundant number, since it is smaller than the sum of its proper divisors (1534323319200).

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

476846667360 is a wasteful number, since it uses less digits than its factorization.

476846667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 476846667360 in words is "four hundred seventy-six billion, eight hundred forty-six million, six hundred sixty-seven thousand, three hundred sixty".