6023786242000 has 80 divisors (see below), whose sum is σ = 14570325845712. Its totient is φ = 2408718681600.

The previous prime is 6023786241997. The next prime is 6023786242013. The reversal of 6023786242000 is 2426873206.

It can be written as a sum of positive squares in 8 ways, for example, as 405407264656 + 5618378977344 = 636716^2 + 2370312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5578134 + ... + 6569866.

Almost surely, 2^{6023786242000} 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 6023786242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285162922856).

6023786242000 is an abundant number, since it is smaller than the sum of its proper divisors (8546539603712).

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

6023786242000 is a wasteful number, since it uses less digits than its factorization.

6023786242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994793 (or 994777 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 6023786242000 in words is "six trillion, twenty-three billion, seven hundred eighty-six million, two hundred forty-two thousand".