6144860800 has 192 divisors, whose sum is σ = 17311001400. Its totient is φ = 2135162880.

The previous prime is 6144860791. The next prime is 6144860807. The reversal of 6144860800 is 80684416.

It can be written as a sum of positive squares in 12 ways, for example, as 1087944256 + 5056916544 = 32984^2 + 71112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6144860800.

It is not an unprimeable number, because it can be changed into a prime (6144860807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702856 + ... + 711544.

Almost surely, 2^6144860800 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 6144860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655500700).

6144860800 is an abundant number, since it is smaller than the sum of its proper divisors (11166140600).

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

6144860800 is a wasteful number, since it uses less digits than its factorization.

6144860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 6144860800 is about 78389.1625162560. The cubic root of 6144860800 is about 1831.6283196830.

The spelling of 6144860800 in words is "six billion, one hundred forty-four million, eight hundred sixty thousand, eight hundred".