6180294841728 has 256 divisors, whose sum is σ = 19414269388800. Its totient is φ = 1704407556096.

The previous prime is 6180294841727. The next prime is 6180294841729. The reversal of 6180294841728 is 8271484920816.

It is an interprime number because it is at equal distance from previous prime (6180294841727) and next prime (6180294841729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6180294841727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322166025 + ... + 322185207.

It is an arithmetic number, because the mean of its divisors is an integer number (75836989800).

Almost surely, 2^{6180294841728} 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 6180294841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707134694400).

6180294841728 is an abundant number, since it is smaller than the sum of its proper divisors (13233974547072).

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

6180294841728 is a wasteful number, since it uses less digits than its factorization.

6180294841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23369 (or 23357 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 6180294841728 in words is "six trillion, one hundred eighty billion, two hundred ninety-four million, eight hundred forty-one thousand, seven hundred twenty-eight".