4582479046320 has 960 divisors, whose sum is σ = 19781229158400. Its totient is φ = 953982074880.

The previous prime is 4582479046309. The next prime is 4582479046333. The reversal of 4582479046320 is 236409742854.

It is a happy number.

4582479046320 is a `hidden beast` number, since 4 + 58 + 2 + 47 + 90 + 463 + 2 + 0 = 666.

It is a super-2 number, since 2×4582479046320² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135443166 + ... + 135476994.

It is an arithmetic number, because the mean of its divisors is an integer number (20605447040).

Almost surely, 2^{4582479046320} is an apocalyptic number.

4582479046320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4582479046320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890614579200).

4582479046320 is an abundant number, since it is smaller than the sum of its proper divisors (15198750112080).

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

4582479046320 is a wasteful number, since it uses less digits than its factorization.

4582479046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33923 (or 33894 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4582479046320 in words is "four trillion, five hundred eighty-two billion, four hundred seventy-nine million, forty-six thousand, three hundred twenty".