480751924896 has 96 divisors (see below), whose sum is σ = 1402380060480. Its totient is φ = 160229276928.

The previous prime is 480751924871. The next prime is 480751924909. The reversal of 480751924896 is 698429157084.

480751924896 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 519 + 24 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480751924896³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7282630 + ... + 7348346.

It is an arithmetic number, because the mean of its divisors is an integer number (14608125630).

Almost surely, 2^480751924896 is an apocalyptic number.

It is an amenable number.

480751924896 is an abundant number, since it is smaller than the sum of its proper divisors (921628135584).

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

480751924896 is a wasteful number, since it uses less digits than its factorization.

480751924896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74203 (or 74189 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 480751924896 in words is "four hundred eighty billion, seven hundred fifty-one million, nine hundred twenty-four thousand, eight hundred ninety-six".