6009888686340 has 576 divisors, whose sum is σ = 22364020224000. Its totient is φ = 1177098531840.

The previous prime is 6009888686309. The next prime is 6009888686341. The reversal of 6009888686340 is 436868889006.

It is a super-2 number, since 2×6009888686340² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (6009888686341) 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 191 ways as a sum of consecutive naturals, for example, 192134782 + ... + 192166058.

It is an arithmetic number, because the mean of its divisors is an integer number (38826424000).

Almost surely, 2^{6009888686340} is an apocalyptic number.

6009888686340 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 6009888686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182010112000).

6009888686340 is an abundant number, since it is smaller than the sum of its proper divisors (16354131537660).

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

6009888686340 is a wasteful number, since it uses less digits than its factorization.

6009888686340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31536 (or 31523 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 6009888686340 in words is "six trillion, nine billion, eight hundred eighty-eight million, six hundred eighty-six thousand, three hundred forty".