477788060160 has 960 divisors, whose sum is σ = 1808490499200. Its totient is φ = 119529603072.

The previous prime is 477788060131. The next prime is 477788060177. The reversal of 477788060160 is 61060887774.

477788060160 is a `hidden beast` number, since 477 + 7 + 8 + 8 + 0 + 6 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 477788060097 and 477788060106.

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 95 ways as a sum of consecutive naturals, for example, 2669206951 + ... + 2669207129.

It is an arithmetic number, because the mean of its divisors is an integer number (1883844270).

Almost surely, 2^477788060160 is an apocalyptic number.

477788060160 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 477788060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904245249600).

477788060160 is an abundant number, since it is smaller than the sum of its proper divisors (1330702439040).

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

477788060160 is a wasteful number, since it uses less digits than its factorization.

477788060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 477788060160 in words is "four hundred seventy-seven billion, seven hundred eighty-eight million, sixty thousand, one hundred sixty".