480792465664 has 243 divisors, whose sum is σ = 1151915149413. Its totient is φ = 199696896000.

The previous prime is 480792465649. The next prime is 480792465683. The reversal of 480792465664 is 466564297084.

It is a happy number.

The square root of 480792465664 is 693392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23167275264 + 457625190400 = 152208^2 + 676480^2 .

It is a super-3 number, since 3×480792465664³ (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 26 ways as a sum of consecutive naturals, for example, 3184055989 + ... + 3184056139.

Almost surely, 2^480792465664 is an apocalyptic number.

480792465664 is the 693392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480792465664

480792465664 is an abundant number, since it is smaller than the sum of its proper divisors (671122683749).

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

480792465664 is an frugal number, since it uses more digits than its factorization.

480792465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 480792465664 in words is "four hundred eighty billion, seven hundred ninety-two million, four hundred sixty-five thousand, six hundred sixty-four".