6172165440 has 672 divisors, whose sum is σ = 25851916800. Its totient is φ = 1381847040.

The previous prime is 6172165427. The next prime is 6172165451. The reversal of 6172165440 is 445612716.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6172165395 and 6172165404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25824841 + ... + 25825079.

Almost surely, 2^6172165440 is an apocalyptic number.

6172165440 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 6172165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925958400).

6172165440 is an abundant number, since it is smaller than the sum of its proper divisors (19679751360).

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

6172165440 is a wasteful number, since it uses less digits than its factorization.

6172165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6172165440 is about 78563.1302838679. The cubic root of 6172165440 is about 1834.3372532092.

The spelling of 6172165440 in words is "six billion, one hundred seventy-two million, one hundred sixty-five thousand, four hundred forty".