480337339776000 has 2816 divisors, whose sum is σ = 1961779610419200. Its totient is φ = 101964054528000.

The previous prime is 480337339775989. The next prime is 480337339776001. The reversal of 480337339776000 is 677933733084.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480337339776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 476052863496 + ... + 476052864504.

It is an arithmetic number, because the mean of its divisors is an integer number (696654691200).

Almost surely, 2^{480337339776000} is an apocalyptic number.

480337339776000 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 480337339776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980889805209600).

480337339776000 is an abundant number, since it is smaller than the sum of its proper divisors (1481442270643200).

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

480337339776000 is a wasteful number, since it uses less digits than its factorization.

480337339776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 60.

The spelling of 480337339776000 in words is "four hundred eighty trillion, three hundred thirty-seven billion, three hundred thirty-nine million, seven hundred seventy-six thousand".