478593561680 has 80 divisors (see below), whose sum is σ = 1198994707344. Its totient is φ = 176612659200.

The previous prime is 478593561671. The next prime is 478593561703. The reversal of 478593561680 is 86165395874.

It can be written as a sum of positive squares in 8 ways, for example, as 59549664784 + 419043896896 = 244028^2 + 647336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1745282 + ... + 2000798.

Almost surely, 2^478593561680 is an apocalyptic number.

478593561680 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 478593561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599497353672).

478593561680 is an abundant number, since it is smaller than the sum of its proper divisors (720401145664).

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

478593561680 is a wasteful number, since it uses less digits than its factorization.

478593561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257344 (or 257338 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 478593561680 in words is "four hundred seventy-eight billion, five hundred ninety-three million, five hundred sixty-one thousand, six hundred eighty".