477828566656 has 256 divisors, whose sum is σ = 1162894786560. Its totient is φ = 191129849856.

The previous prime is 477828566629. The next prime is 477828566659. The reversal of 477828566656 is 656665828774.

It is a happy number.

It is a super-2 number, since 2×477828566656² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (477828566659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471696006 + ... + 471697018.

It is an arithmetic number, because the mean of its divisors is an integer number (4542557760).

Almost surely, 2^477828566656 is an apocalyptic number.

477828566656 is a gapful number since it is divisible by the number (46) 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 477828566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581447393280).

477828566656 is an abundant number, since it is smaller than the sum of its proper divisors (685066219904).

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

477828566656 is a wasteful number, since it uses less digits than its factorization.

477828566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1579 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 70.

It can be divided in two parts, 477828 and 566656, that added together give a square (1044484 = 1022²).

The spelling of 477828566656 in words is "four hundred seventy-seven billion, eight hundred twenty-eight million, five hundred sixty-six thousand, six hundred fifty-six".