6160438800 has 360 divisors, whose sum is σ = 22555361920. Its totient is φ = 1614297600.

The previous prime is 6160438777. The next prime is 6160438807. The reversal of 6160438800 is 88340616.

It is a happy number.

6160438800 is a `hidden beast` number, since 616 + 0 + 4 + 38 + 8 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (6160438807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5928681 + ... + 5929719.

Almost surely, 2^6160438800 is an apocalyptic number.

6160438800 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 6160438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277680960).

6160438800 is an abundant number, since it is smaller than the sum of its proper divisors (16394923120).

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

6160438800 is a wasteful number, since it uses less digits than its factorization.

6160438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6160438800 is about 78488.4628464592. The cubic root of 6160438800 is about 1833.1748167812.

The spelling of 6160438800 in words is "six billion, one hundred sixty million, four hundred thirty-eight thousand, eight hundred".