6168372840 has 288 divisors, whose sum is σ = 23588253000. Its totient is φ = 1393717248.

The previous prime is 6168372827. The next prime is 6168372841. The reversal of 6168372840 is 482738616.

6168372840 is a `hidden beast` number, since 616 + 8 + 3 + 7 + 28 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2813878116 + 3354494724 = 53046^2 + 57918^2 .

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 (6168372841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1567996 + ... + 1571924.

Almost surely, 2^6168372840 is an apocalyptic number.

6168372840 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 6168372840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11794126500).

6168372840 is an abundant number, since it is smaller than the sum of its proper divisors (17419880160).

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

6168372840 is a wasteful number, since it uses less digits than its factorization.

6168372840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4035 counting only the distinct ones).

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

The square root of 6168372840 is about 78538.9892983097. The cubic root of 6168372840 is about 1833.9614621974.

The spelling of 6168372840 in words is "six billion, one hundred sixty-eight million, three hundred seventy-two thousand, eight hundred forty".