479682160640 has 384 divisors, whose sum is σ = 1235232180000. Its totient is φ = 178428837888.

The previous prime is 479682160619. The next prime is 479682160651. The reversal of 479682160640 is 46061286974.

It can be written as a sum of positive squares in 16 ways, for example, as 161513964544 + 318168196096 = 401888^2 + 564064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637140334 + ... + 1637140626.

Almost surely, 2^479682160640 is an apocalyptic number.

479682160640 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 479682160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617616090000).

479682160640 is an abundant number, since it is smaller than the sum of its proper divisors (755550019360).

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

479682160640 is a wasteful number, since it uses less digits than its factorization.

479682160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 479682160640 in words is "four hundred seventy-nine billion, six hundred eighty-two million, one hundred sixty thousand, six hundred forty".