479711756160 has 1920 divisors, whose sum is σ = 2186459352000. Its totient is φ = 99325771776.

The previous prime is 479711756143. The next prime is 479711756191. The reversal of 479711756160 is 61657117974.

479711756160 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 1 + 17 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×479711756160² (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 = 479711756097 and 479711756106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2410611741 + ... + 2410611939.

Almost surely, 2^479711756160 is an apocalyptic number.

479711756160 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 479711756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093229676000).

479711756160 is an abundant number, since it is smaller than the sum of its proper divisors (1706747595840).

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

479711756160 is a wasteful number, since it uses less digits than its factorization.

479711756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 479711756160 in words is "four hundred seventy-nine billion, seven hundred eleven million, seven hundred fifty-six thousand, one hundred sixty".