6172863840 has 576 divisors, whose sum is σ = 25572298752. Its totient is φ = 1335398400.

The previous prime is 6172863779. The next prime is 6172863841. The reversal of 6172863840 is 483682716.

6172863840 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 8 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6172863841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6383037 + ... + 6384003.

It is an arithmetic number, because the mean of its divisors is an integer number (44396352).

Almost surely, 2^6172863840 is an apocalyptic number.

6172863840 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 6172863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786149376).

6172863840 is an abundant number, since it is smaller than the sum of its proper divisors (19399434912).

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

6172863840 is a wasteful number, since it uses less digits than its factorization.

6172863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6172863840 is about 78567.5749912138. The cubic root of 6172863840 is about 1834.4064376163.

It can be divided in two parts, 617286 and 3840, that added together give a palindrome (621126).

The spelling of 6172863840 in words is "six billion, one hundred seventy-two million, eight hundred sixty-three thousand, eight hundred forty".