7439826506112 has 2016 divisors, whose sum is σ = 30282188534640. Its totient is φ = 1780572119040.

The previous prime is 7439826506089. The next prime is 7439826506129. The reversal of 7439826506112 is 2116056289347.

It is a happy number.

7439826506112 is a `hidden beast` number, since 7 + 43 + 9 + 82 + 6 + 506 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 13356959338 + ... + 13356959894.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7439826506112 = 14879653012224, but 3⋅7439826506112 = 22319479518336 is not.

Almost surely, 2^{7439826506112} is an apocalyptic number.

7439826506112 is a gapful number since it is divisible by the number (72) 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 7439826506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15141094267320).

7439826506112 is an abundant number, since it is smaller than the sum of its proper divisors (22842362028528).

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

7439826506112 is a wasteful number, since it uses less digits than its factorization.

7439826506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7439826506112 in words is "seven trillion, four hundred thirty-nine billion, eight hundred twenty-six million, five hundred six thousand, one hundred twelve".