480711722364 has 144 divisors (see below), whose sum is σ = 1272530068992. Its totient is φ = 152719814016.

The previous prime is 480711722353. The next prime is 480711722459. The reversal of 480711722364 is 463227117084.

480711722364 is a `hidden beast` number, since 480 + 7 + 117 + 22 + 36 + 4 = 666.

It is a super-3 number, since 3×480711722364³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563553762 + ... + 563554614.

It is an arithmetic number, because the mean of its divisors is an integer number (8837014368).

Almost surely, 2^480711722364 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 480711722364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636265034496).

480711722364 is an abundant number, since it is smaller than the sum of its proper divisors (791818346628).

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

480711722364 is a wasteful number, since it uses less digits than its factorization.

480711722364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 480711722364 in words is "four hundred eighty billion, seven hundred eleven million, seven hundred twenty-two thousand, three hundred sixty-four".