6001308149760 has 1152 divisors, whose sum is σ = 26139901132800. Its totient is φ = 1237020180480.

The previous prime is 6001308149729. The next prime is 6001308149777. The reversal of 6001308149760 is 679418031006.

It is a happy number.

6001308149760 is a `hidden beast` number, since 600 + 1 + 30 + 8 + 1 + 4 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901229311 + ... + 901235969.

It is an arithmetic number, because the mean of its divisors is an integer number (22690886400).

Almost surely, 2^{6001308149760} is an apocalyptic number.

6001308149760 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 6001308149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069950566400).

6001308149760 is an abundant number, since it is smaller than the sum of its proper divisors (20138592983040).

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

6001308149760 is a wasteful number, since it uses less digits than its factorization.

6001308149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 6001308149760 in words is "six trillion, one billion, three hundred eight million, one hundred forty-nine thousand, seven hundred sixty".