480540345857664 has 256 divisors, whose sum is σ = 1321341314832000. Its totient is φ = 154614313451520.

The previous prime is 480540345857633. The next prime is 480540345857707. The reversal of 480540345857664 is 466758543045084.

It is a happy number.

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, 6419406924 + ... + 6419481780.

Almost surely, 2^{480540345857664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480540345857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660670657416000).

480540345857664 is an abundant number, since it is smaller than the sum of its proper divisors (840800968974336).

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

480540345857664 is a wasteful number, since it uses less digits than its factorization.

480540345857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78491 (or 78479 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 69.

The spelling of 480540345857664 in words is "four hundred eighty trillion, five hundred forty billion, three hundred forty-five million, eight hundred fifty-seven thousand, six hundred sixty-four".