6331145721120 has 1536 divisors, whose sum is σ = 25280180352000. Its totient is φ = 1466538393600.

The previous prime is 6331145721119. The next prime is 6331145721143. The reversal of 6331145721120 is 211275411336.

6331145721120 is a `hidden beast` number, since 6 + 331 + 145 + 72 + 112 + 0 = 666.

It is a super-2 number, since 2×6331145721120² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32803863744 + ... + 32803863936.

It is an arithmetic number, because the mean of its divisors is an integer number (16458450750).

Almost surely, 2^{6331145721120} is an apocalyptic number.

6331145721120 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 6331145721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640090176000).

6331145721120 is an abundant number, since it is smaller than the sum of its proper divisors (18949034630880).

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

6331145721120 is a wasteful number, since it uses less digits than its factorization.

6331145721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 6331145721120 in words is "six trillion, three hundred thirty-one billion, one hundred forty-five million, seven hundred twenty-one thousand, one hundred twenty".