480847448880678 has 192 divisors, whose sum is σ = 1088907196769280. Its totient is φ = 141399732672000.

The previous prime is 480847448880647. The next prime is 480847448880751. The reversal of 480847448880678 is 876088844748084.

It is a super-3 number, since 3×480847448880678³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480847448880678.

It is a congruent number.

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, 1172991468 + ... + 1173401328.

It is an arithmetic number, because the mean of its divisors is an integer number (5671391649840).

Almost surely, 2^{480847448880678} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480847448880678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544453598384640).

480847448880678 is an abundant number, since it is smaller than the sum of its proper divisors (608059747888602).

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

480847448880678 is a wasteful number, since it uses less digits than its factorization.

480847448880678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410315 (or 410304 counting only the distinct ones).

The product of its (nonzero) digits is 19730006016, while the sum is 84.

The spelling of 480847448880678 in words is "four hundred eighty trillion, eight hundred forty-seven billion, four hundred forty-eight million, eight hundred eighty thousand, six hundred seventy-eight".