480366157536 has 144 divisors (see below), whose sum is σ = 1478690413200. Its totient is φ = 151694477568.

The previous prime is 480366157499. The next prime is 480366157597. The reversal of 480366157536 is 635751663084.

480366157536 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 6 + 61 + 575 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458151 + ... + 1081958.

It is an arithmetic number, because the mean of its divisors is an integer number (10268683425).

Almost surely, 2^480366157536 is an apocalyptic number.

It is an amenable number.

480366157536 is an abundant number, since it is smaller than the sum of its proper divisors (998324255664).

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

480366157536 is a wasteful number, since it uses less digits than its factorization.

480366157536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540166 (or 1540133 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 480366157536 in words is "four hundred eighty billion, three hundred sixty-six million, one hundred fifty-seven thousand, five hundred thirty-six".