4585996800 has 1080 divisors, whose sum is σ = 21055402368. Its totient is φ = 932659200.

The previous prime is 4585996799. The next prime is 4585996813. The reversal of 4585996800 is 86995854.

It is a happy number.

4585996800 is a `hidden beast` number, since 45 + 8 + 599 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4585996800² = 42062733299220480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 97574377 + ... + 97574423.

Almost surely, 2^4585996800 is an apocalyptic number.

4585996800 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 4585996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527701184).

4585996800 is an abundant number, since it is smaller than the sum of its proper divisors (16469405568).

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

4585996800 is a wasteful number, since it uses less digits than its factorization.

4585996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 4585996800 is about 67719.9881866499. The cubic root of 4585996800 is about 1661.4141914022.

The spelling of 4585996800 in words is "four billion, five hundred eighty-five million, nine hundred ninety-six thousand, eight hundred".