4872571200 has 840 divisors, whose sum is σ = 21128272704. Its totient is φ = 1078272000.

The previous prime is 4872571177. The next prime is 4872571217. The reversal of 4872571200 is 21752784.

4872571200 is a `hidden beast` number, since 4 + 87 + 2 + 571 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 37195135 + ... + 37195265.

Almost surely, 2^4872571200 is an apocalyptic number.

4872571200 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 4872571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564136352).

4872571200 is an abundant number, since it is smaller than the sum of its proper divisors (16255701504).

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

4872571200 is a wasteful number, since it uses less digits than its factorization.

4872571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4872571200 is about 69803.8050538794. The cubic root of 4872571200 is about 1695.3240824440.

The spelling of 4872571200 in words is "four billion, eight hundred seventy-two million, five hundred seventy-one thousand, two hundred".