476673777664 has 448 divisors, whose sum is σ = 1185741250560. Its totient is φ = 187280916480.

The previous prime is 476673777649. The next prime is 476673777691. The reversal of 476673777664 is 466777376674.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 476673777593 and 476673777602.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3753336769 + ... + 3753336895.

Almost surely, 2^476673777664 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 476673777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592870625280).

476673777664 is an abundant number, since it is smaller than the sum of its proper divisors (709067472896).

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

476673777664 is a wasteful number, since it uses less digits than its factorization.

476673777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its digits is 1045529856, while the sum is 70.

It can be divided in two parts, 4766737 and 77664, that added together give a square (4844401 = 2201²).

The spelling of 476673777664 in words is "four hundred seventy-six billion, six hundred seventy-three million, seven hundred seventy-seven thousand, six hundred sixty-four".