42993056736 has 288 divisors, whose sum is σ = 143500750848. Its totient is φ = 11954995200.

The previous prime is 42993056731. The next prime is 42993056741. The reversal of 42993056736 is 63765039924.

42993056736 is a `hidden beast` number, since 42 + 9 + 9 + 3 + 0 + 567 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (42993056731) and next prime (42993056741).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42993056731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18285961 + ... + 18288311.

It is an arithmetic number, because the mean of its divisors is an integer number (498266496).

Almost surely, 2^42993056736 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 42993056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71750375424).

42993056736 is an abundant number, since it is smaller than the sum of its proper divisors (100507694112).

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

42993056736 is a wasteful number, since it uses less digits than its factorization.

42993056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 42993056736 in words is "forty-two billion, nine hundred ninety-three million, fifty-six thousand, seven hundred thirty-six".