6142106880 has 1296 divisors, whose sum is σ = 28498788864. Its totient is φ = 1254113280.

The previous prime is 6142106869. The next prime is 6142106891. The reversal of 6142106880 is 886012416.

It is an interprime number because it is at equal distance from previous prime (6142106869) and next prime (6142106891).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198132465 + ... + 198132495.

Almost surely, 2^6142106880 is an apocalyptic number.

6142106880 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 6142106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249394432).

6142106880 is an abundant number, since it is smaller than the sum of its proper divisors (22356681984).

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

6142106880 is a wasteful number, since it uses less digits than its factorization.

6142106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6142106880 is about 78371.5948542583. The cubic root of 6142106880 is about 1831.3546540539.

The spelling of 6142106880 in words is "six billion, one hundred forty-two million, one hundred six thousand, eight hundred eighty".