4865137200 has 360 divisors, whose sum is σ = 21050605056. Its totient is φ = 1010880000.

The previous prime is 4865137183. The next prime is 4865137229. The reversal of 4865137200 is 27315684.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268425 + ... + 285975.

Almost surely, 2^4865137200 is an apocalyptic number.

4865137200 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 4865137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525302528).

4865137200 is an abundant number, since it is smaller than the sum of its proper divisors (16185467856).

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

4865137200 is a wasteful number, since it uses less digits than its factorization.

4865137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17593 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4865137200 is about 69750.5354818155. The cubic root of 4865137200 is about 1694.4614677816.

The spelling of 4865137200 in words is "four billion, eight hundred sixty-five million, one hundred thirty-seven thousand, two hundred".