4918536000 has 448 divisors, whose sum is σ = 20629839360. Its totient is φ = 1123891200.

The previous prime is 4918535977. The next prime is 4918536019. The reversal of 4918536000 is 6358194.

4918536000 is a `hidden beast` number, since 49 + 1 + 8 + 5 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×4918536000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510374 + ... + 1513626.

Almost surely, 2^4918536000 is an apocalyptic number.

4918536000 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 4918536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314919680).

4918536000 is an abundant number, since it is smaller than the sum of its proper divisors (15711303360).

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

4918536000 is a wasteful number, since it uses less digits than its factorization.

4918536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4918536000 is about 70132.2750237007. The cubic root of 4918536000 is about 1700.6382839639.

The spelling of 4918536000 in words is "four billion, nine hundred eighteen million, five hundred thirty-six thousand".