482640613920 has 72 divisors (see below), whose sum is σ = 1647011099916. Its totient is φ = 128704163328.

The previous prime is 482640613883. The next prime is 482640613921. The reversal of 482640613920 is 29316046284.

482640613920 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 4 + 0 + 613 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 443763816336 + 38876797584 = 666156^2 + 197172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482640613921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167582107 + ... + 167584986.

Almost surely, 2^482640613920 is an apocalyptic number.

482640613920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482640613920 is an abundant number, since it is smaller than the sum of its proper divisors (1164370485996).

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

482640613920 is a wasteful number, since it uses less digits than its factorization.

482640613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335167114 (or 335167103 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 482640613920 in words is "four hundred eighty-two billion, six hundred forty million, six hundred thirteen thousand, nine hundred twenty".