477552516480 has 640 divisors, whose sum is σ = 1875814174080. Its totient is φ = 115042664448.

The previous prime is 477552516479. The next prime is 477552516523. The reversal of 477552516480 is 84615255774.

It is a happy number.

477552516480 is a `hidden beast` number, since 4 + 7 + 7 + 552 + 5 + 1 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 31666702 + ... + 31681778.

It is an arithmetic number, because the mean of its divisors is an integer number (2930959647).

Almost surely, 2^477552516480 is an apocalyptic number.

477552516480 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 477552516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937907087040).

477552516480 is an abundant number, since it is smaller than the sum of its proper divisors (1398261657600).

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

477552516480 is a wasteful number, since it uses less digits than its factorization.

477552516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15168 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 477552516480 in words is "four hundred seventy-seven billion, five hundred fifty-two million, five hundred sixteen thousand, four hundred eighty".