6100872800 has 144 divisors (see below), whose sum is σ = 16472039472. Its totient is φ = 2187878400.

The previous prime is 6100872763. The next prime is 6100872823. The reversal of 6100872800 is 82780016.

It is a super-3 number, since 3×6100872800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637652 + ... + 647148.

It is an arithmetic number, because the mean of its divisors is an integer number (114389163).

Almost surely, 2^6100872800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236019736).

6100872800 is an abundant number, since it is smaller than the sum of its proper divisors (10371166672).

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

6100872800 is a wasteful number, since it uses less digits than its factorization.

6100872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9601 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 6100872800 is about 78108.0840886524. The cubic root of 6100872800 is about 1827.2472772632.

The spelling of 6100872800 in words is "six billion, one hundred million, eight hundred seventy-two thousand, eight hundred".