480615685304832 has 2400 divisors, whose sum is σ = 1849643713868544. Its totient is φ = 122847363072000.

The previous prime is 480615685304813. The next prime is 480615685304849. The reversal of 480615685304832 is 238403586516084.

480615685304832 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 1 + 5 + 68 + 530 + 4 + 8 + 32 = 666.

It is a super-3 number, since 3×480615685304832³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 480615685304832.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 435734981593 + ... + 435734982695.

Almost surely, 2^{480615685304832} is an apocalyptic number.

480615685304832 is a gapful number since it is divisible by the number (42) 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 480615685304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924821856934272).

480615685304832 is an abundant number, since it is smaller than the sum of its proper divisors (1369028028563712).

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

480615685304832 is a wasteful number, since it uses less digits than its factorization.

480615685304832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 480615685304832 in words is "four hundred eighty trillion, six hundred fifteen billion, six hundred eighty-five million, three hundred four thousand, eight hundred thirty-two".