480079617696 has 288 divisors, whose sum is σ = 1610705416320. Its totient is φ = 132787372032.

The previous prime is 480079617683. The next prime is 480079617749. The reversal of 480079617696 is 696716970084.

480079617696 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 7 + 9 + 617 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 9771240 + ... + 9820248.

It is an arithmetic number, because the mean of its divisors is an integer number (5592727140).

Almost surely, 2^480079617696 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 480079617696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805352708160).

480079617696 is an abundant number, since it is smaller than the sum of its proper divisors (1130625798624).

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

480079617696 is a wasteful number, since it uses less digits than its factorization.

480079617696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49188 (or 49177 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 480079617696 in words is "four hundred eighty billion, seventy-nine million, six hundred seventeen thousand, six hundred ninety-six".