6819187200 has 480 divisors, whose sum is σ = 26888564736. Its totient is φ = 1489551360.

The previous prime is 6819187187. The next prime is 6819187201. The reversal of 6819187200 is 27819186.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819187201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6181849 + ... + 6182951.

Almost surely, 2^6819187200 is an apocalyptic number.

6819187200 is a gapful number since it is divisible by the number (60) 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 6819187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444282368).

6819187200 is an abundant number, since it is smaller than the sum of its proper divisors (20069377536).

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

6819187200 is a wasteful number, since it uses less digits than its factorization.

6819187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 6819187200 is about 82578.3700493053. The cubic root of 6819187200 is about 1896.3167054492.

The spelling of 6819187200 in words is "six billion, eight hundred nineteen million, one hundred eighty-seven thousand, two hundred".