6002001135744 has 256 divisors, whose sum is σ = 16917757666560. Its totient is φ = 1882950451200.

The previous prime is 6002001135649. The next prime is 6002001135749. The reversal of 6002001135744 is 4475311002006.

It is not an unprimeable number, because it can be changed into a prime (6002001135749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53408574 + ... + 53520834.

It is an arithmetic number, because the mean of its divisors is an integer number (66084990885).

Almost surely, 2^{6002001135744} is an apocalyptic number.

6002001135744 is a gapful number since it is divisible by the number (64) 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 6002001135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458878833280).

6002001135744 is an abundant number, since it is smaller than the sum of its proper divisors (10915756530816).

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

6002001135744 is a wasteful number, since it uses less digits than its factorization.

6002001135744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112439 (or 112427 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 6002001135744 in words is "six trillion, two billion, one million, one hundred thirty-five thousand, seven hundred forty-four".