6172141920 has 288 divisors, whose sum is σ = 23398956000. Its totient is φ = 1361977344.

The previous prime is 6172141919. The next prime is 6172141951. The reversal of 6172141920 is 291412716.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677556 + ... + 686604.

It is an arithmetic number, because the mean of its divisors is an integer number (81246375).

Almost surely, 2^6172141920 is an apocalyptic number.

6172141920 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 6172141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699478000).

6172141920 is an abundant number, since it is smaller than the sum of its proper divisors (17226814080).

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

6172141920 is a wasteful number, since it uses less digits than its factorization.

6172141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9110 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 6172141920 is about 78562.9805951887. The cubic root of 6172141920 is about 1834.3349231967.

The spelling of 6172141920 in words is "six billion, one hundred seventy-two million, one hundred forty-one thousand, nine hundred twenty".