6331198743072 has 192 divisors, whose sum is σ = 21109621800960. Its totient is φ = 1808431702272.

The previous prime is 6331198743059. The next prime is 6331198743119. The reversal of 6331198743072 is 2703478911336.

6331198743072 is a `hidden beast` number, since 63 + 3 + 1 + 1 + 9 + 87 + 430 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22862913 + ... + 23138175.

It is an arithmetic number, because the mean of its divisors is an integer number (109945946880).

Almost surely, 2^{6331198743072} 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 6331198743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554810900480).

6331198743072 is an abundant number, since it is smaller than the sum of its proper divisors (14778423057888).

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

6331198743072 is a wasteful number, since it uses less digits than its factorization.

6331198743072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279092 (or 279078 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 6331198743072 in words is "six trillion, three hundred thirty-one billion, one hundred ninety-eight million, seven hundred forty-three thousand, seventy-two".