6011981887632 has 320 divisors, whose sum is σ = 18094484736000. Its totient is φ = 1684695158784.

The previous prime is 6011981887601. The next prime is 6011981887651. The reversal of 6011981887632 is 2367881891106.

It is a super-2 number, since 2×6011981887632² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3602145294 + ... + 3602146962.

It is an arithmetic number, because the mean of its divisors is an integer number (56545264800).

Almost surely, 2^{6011981887632} 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 6011981887632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047242368000).

6011981887632 is an abundant number, since it is smaller than the sum of its proper divisors (12082502848368).

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

6011981887632 is a wasteful number, since it uses less digits than its factorization.

6011981887632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 6011981887632 in words is "six trillion, eleven billion, nine hundred eighty-one million, eight hundred eighty-seven thousand, six hundred thirty-two".