477475447680 has 3072 divisors, whose sum is σ = 2391088896000. Its totient is φ = 87588864000.

The previous prime is 477475447643. The next prime is 477475447681. The reversal of 477475447680 is 86744574774.

477475447680 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 7 + 544 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477475447681) 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 383 ways as a sum of consecutive naturals, for example, 4727479630 + ... + 4727479730.

It is an arithmetic number, because the mean of its divisors is an integer number (778349250).

Almost surely, 2^477475447680 is an apocalyptic number.

477475447680 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 477475447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195544448000).

477475447680 is an abundant number, since it is smaller than the sum of its proper divisors (1913613448320).

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

477475447680 is a wasteful number, since it uses less digits than its factorization.

477475447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 63.

The spelling of 477475447680 in words is "four hundred seventy-seven billion, four hundred seventy-five million, four hundred forty-seven thousand, six hundred eighty".