6142179932928 has 1440 divisors, whose sum is σ = 21215650579200. Its totient is φ = 1753752010752.

The previous prime is 6142179932921. The next prime is 6142179932947. The reversal of 6142179932928 is 8292399712416.

6142179932928 is a `hidden beast` number, since 6 + 1 + 4 + 217 + 99 + 329 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6142179932921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26821746318 + ... + 26821746546.

It is an arithmetic number, because the mean of its divisors is an integer number (14733090680).

Almost surely, 2^{6142179932928} 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 6142179932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607825289600).

6142179932928 is an abundant number, since it is smaller than the sum of its proper divisors (15073470646272).

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

6142179932928 is a wasteful number, since it uses less digits than its factorization.

6142179932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 6142179932928 in words is "six trillion, one hundred forty-two billion, one hundred seventy-nine million, nine hundred thirty-two thousand, nine hundred twenty-eight".