6292142080 has 192 divisors, whose sum is σ = 17683323840. Its totient is φ = 2103705600.

The previous prime is 6292142063. The next prime is 6292142081. The reversal of 6292142080 is 802412926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6292142081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937810 + ... + 2939950.

It is an arithmetic number, because the mean of its divisors is an integer number (92100645).

Almost surely, 2^6292142080 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 6292142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841661920).

6292142080 is an abundant number, since it is smaller than the sum of its proper divisors (11391181760).

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

6292142080 is a wasteful number, since it uses less digits than its factorization.

6292142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6292142080 is about 79323.0236438324. The cubic root of 6292142080 is about 1846.1465522219.

The spelling of 6292142080 in words is "six billion, two hundred ninety-two million, one hundred forty-two thousand, eighty".