480942717696 has 540 divisors, whose sum is σ = 1722146690880. Its totient is φ = 132970844160.

The previous prime is 480942717677. The next prime is 480942717701. The reversal of 480942717696 is 696717249084.

480942717696 is a `hidden beast` number, since 480 + 94 + 2 + 7 + 1 + 7 + 69 + 6 = 666.

It is a super-3 number, since 3×480942717696³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31490350 + ... + 31505618.

Almost surely, 2^480942717696 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 480942717696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861073345440).

480942717696 is an abundant number, since it is smaller than the sum of its proper divisors (1241203973184).

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

480942717696 is a wasteful number, since it uses less digits than its factorization.

480942717696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 480942717696 in words is "four hundred eighty billion, nine hundred forty-two million, seven hundred seventeen thousand, six hundred ninety-six".