4585079768832 has 252 divisors, whose sum is σ = 13947083369464. Its totient is φ = 1503301109760.

The previous prime is 4585079768707. The next prime is 4585079768861. The reversal of 4585079768832 is 2388679705854.

4585079768832 is a `hidden beast` number, since 4 + 5 + 8 + 507 + 9 + 7 + 6 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11182683 + ... + 11585445.

Almost surely, 2^{4585079768832} 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 4585079768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973541684732).

4585079768832 is an abundant number, since it is smaller than the sum of its proper divisors (9362003600632).

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

4585079768832 is an frugal number, since it uses more digits than its factorization.

4585079768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402858 (or 402829 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 4585079768832 in words is "four trillion, five hundred eighty-five billion, seventy-nine million, seven hundred sixty-eight thousand, eight hundred thirty-two".