542066644992 has 192 divisors, whose sum is σ = 1455707635200. Its totient is φ = 179375800320.

The previous prime is 542066644969. The next prime is 542066644993. The reversal of 542066644992 is 299446660245.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×542066644992⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542066644993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733513359 + ... + 733514097.

It is an arithmetic number, because the mean of its divisors is an integer number (7581810600).

Almost surely, 2^542066644992 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 542066644992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727853817600).

542066644992 is an abundant number, since it is smaller than the sum of its proper divisors (913640990208).

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

542066644992 is a wasteful number, since it uses less digits than its factorization.

542066644992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 542066644992 in words is "five hundred forty-two billion, sixty-six million, six hundred forty-four thousand, nine hundred ninety-two".