6142320937728 has 216 divisors, whose sum is σ = 18958194318336. Its totient is φ = 1981393228800.

The previous prime is 6142320937723. The next prime is 6142320937777. The reversal of 6142320937728 is 8277390232416.

It is a happy number.

6142320937728 is a `hidden beast` number, since 6 + 1 + 42 + 3 + 209 + 377 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6142320937723) 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, 335893 + ... + 3521003.

Almost surely, 2^{6142320937728} 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 6142320937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9479097159168).

6142320937728 is an abundant number, since it is smaller than the sum of its proper divisors (12815873380608).

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

6142320937728 is an equidigital number, since it uses as much as digits as its factorization.

6142320937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185173 (or 3185147 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6142320937728 in words is "six trillion, one hundred forty-two billion, three hundred twenty million, nine hundred thirty-seven thousand, seven hundred twenty-eight".