4513996800 has 504 divisors, whose sum is σ = 16902013440. Its totient is φ = 1150156800.

The previous prime is 4513996777. The next prime is 4513996819. The reversal of 4513996800 is 86993154.

It is a happy number.

4513996800 is a `hidden beast` number, since 451 + 39 + 96 + 80 + 0 = 666.

It is a super-4 number, since 4×4513996800⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 35 ways as a sum of consecutive naturals, for example, 57139161 + ... + 57139239.

Almost surely, 2^4513996800 is an apocalyptic number.

4513996800 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 4513996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451006720).

4513996800 is an abundant number, since it is smaller than the sum of its proper divisors (12388016640).

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

4513996800 is a wasteful number, since it uses less digits than its factorization.

4513996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4513996800 is about 67186.2843145831. The cubic root of 4513996800 is about 1652.6735718831.

The spelling of 4513996800 in words is "four billion, five hundred thirteen million, nine hundred ninety-six thousand, eight hundred".