6216144480000 has 3240 divisors, whose sum is σ = 28710989667360. Its totient is φ = 1265172480000.

The previous prime is 6216144479983. The next prime is 6216144480017. The reversal of 6216144480000 is 844416126.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6216144479983) and next prime (6216144480017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 69844319956 + ... + 69844320044.

It is an arithmetic number, because the mean of its divisors is an integer number (8861416564).

Almost surely, 2^{6216144480000} is an apocalyptic number.

6216144480000 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 6216144480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355494833680).

6216144480000 is an abundant number, since it is smaller than the sum of its proper divisors (22494845187360).

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

6216144480000 is a wasteful number, since it uses less digits than its factorization.

6216144480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 6216144480000 its reverse (844416126), we get a palindrome (6216988896126).

The spelling of 6216144480000 in words is "six trillion, two hundred sixteen billion, one hundred forty-four million, four hundred eighty thousand".