477446897664 has 896 divisors, whose sum is σ = 1650349555200. Its totient is φ = 136638627840.

The previous prime is 477446897639. The next prime is 477446897677. The reversal of 477446897664 is 466798644774.

It is a happy number.

477446897664 is a `hidden beast` number, since 4 + 7 + 74 + 468 + 97 + 6 + 6 + 4 = 666.

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 = 477446897592 and 477446897601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6043631577 + ... + 6043631655.

Almost surely, 2^477446897664 is an apocalyptic number.

477446897664 is a gapful number since it is divisible by the number (44) 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 477446897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825174777600).

477446897664 is an abundant number, since it is smaller than the sum of its proper divisors (1172902657536).

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

477446897664 is an frugal number, since it uses more digits than its factorization.

477446897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 72.

The spelling of 477446897664 in words is "four hundred seventy-seven billion, four hundred forty-six million, eight hundred ninety-seven thousand, six hundred sixty-four".