6180229440 has 1008 divisors, whose sum is σ = 28329575040. Its totient is φ = 1199923200.

The previous prime is 6180229439. The next prime is 6180229441. The reversal of 6180229440 is 449220816.

It is an interprime number because it is at equal distance from previous prime (6180229439) and next prime (6180229441).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6180229395 and 6180229404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6180229441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 199362225 + ... + 199362255.

Almost surely, 2^6180229440 is an apocalyptic number.

6180229440 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 6180229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164787520).

6180229440 is an abundant number, since it is smaller than the sum of its proper divisors (22149345600).

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

6180229440 is a wasteful number, since it uses less digits than its factorization.

6180229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

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

The square root of 6180229440 is about 78614.4353156594. The cubic root of 6180229440 is about 1835.1357659524.

The spelling of 6180229440 in words is "six billion, one hundred eighty million, two hundred twenty-nine thousand, four hundred forty".