4585351680 has 800 divisors, whose sum is σ = 20296450944. Its totient is φ = 967458816.

The previous prime is 4585351663. The next prime is 4585351703. The reversal of 4585351680 is 861535854.

4585351680 is a `hidden beast` number, since 4 + 5 + 8 + 53 + 516 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352719354 + ... + 352719366.

Almost surely, 2^4585351680 is an apocalyptic number.

4585351680 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 4585351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148225472).

4585351680 is an abundant number, since it is smaller than the sum of its proper divisors (15711099264).

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

4585351680 is an frugal number, since it uses more digits than its factorization.

4585351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 4585351680 is about 67715.2248759465. The cubic root of 4585351680 is about 1661.3362830919.

The spelling of 4585351680 in words is "four billion, five hundred eighty-five million, three hundred fifty-one thousand, six hundred eighty".