477267356160 has 480 divisors, whose sum is σ = 1954199744640. Its totient is φ = 105326936064.

The previous prime is 477267356149. The next prime is 477267356183. The reversal of 477267356160 is 61653762774.

It is a happy number.

477267356160 is a `hidden beast` number, since 4 + 7 + 7 + 2 + 6 + 73 + 561 + 6 + 0 = 666.

477267356160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 477267356097 and 477267356106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4626099 + ... + 4728141.

It is an arithmetic number, because the mean of its divisors is an integer number (4071249468).

Almost surely, 2^477267356160 is an apocalyptic number.

477267356160 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 477267356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977099872320).

477267356160 is an abundant number, since it is smaller than the sum of its proper divisors (1476932388480).

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

477267356160 is a wasteful number, since it uses less digits than its factorization.

477267356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102108 (or 102089 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 477267356160 in words is "four hundred seventy-seven billion, two hundred sixty-seven million, three hundred fifty-six thousand, one hundred sixty".