6168832992 has 336 divisors, whose sum is σ = 21393664992. Its totient is φ = 1713208320.

The previous prime is 6168832951. The next prime is 6168833017. The reversal of 6168832992 is 2992388616.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6041442 + ... + 6042462.

It is an arithmetic number, because the mean of its divisors is an integer number (63671622).

Almost surely, 2^6168832992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6168832992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696832496).

6168832992 is an abundant number, since it is smaller than the sum of its proper divisors (15224832000).

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

6168832992 is a wasteful number, since it uses less digits than its factorization.

6168832992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1070 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 6168832992 is about 78541.9186931412. The cubic root of 6168832992 is about 1834.0070647182.

It can be divided in two parts, 6168 and 832992, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 6168832992 in words is "six billion, one hundred sixty-eight million, eight hundred thirty-two thousand, nine hundred ninety-two".