479161766160 has 480 divisors, whose sum is σ = 2080568835072. Its totient is φ = 99565770240.

The previous prime is 479161766143. The next prime is 479161766183. The reversal of 479161766160 is 61667161974.

479161766160 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 6 + 17 + 6 + 616 + 0 = 666.

It is a super-2 number, since 2×479161766160² (a number of 24 digits) contains 22 as substring.

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 = 479161766097 and 479161766106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1336827 + ... + 1656933.

Almost surely, 2^479161766160 is an apocalyptic number.

479161766160 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 479161766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040284417536).

479161766160 is an abundant number, since it is smaller than the sum of its proper divisors (1601407068912).

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

479161766160 is a wasteful number, since it uses less digits than its factorization.

479161766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320153 (or 320135 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 479161766160 in words is "four hundred seventy-nine billion, one hundred sixty-one million, seven hundred sixty-six thousand, one hundred sixty".