7538264019720 has 768 divisors, whose sum is σ = 29646070272000. Its totient is φ = 1622791231488.

The previous prime is 7538264019691. The next prime is 7538264019731. The reversal of 7538264019720 is 279104628357.

It is a happy number.

7538264019720 is a `hidden beast` number, since 7 + 53 + 82 + 6 + 401 + 97 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8837354814 + ... + 8837355666.

It is an arithmetic number, because the mean of its divisors is an integer number (38601654000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7538264019720 = 15076528039440, but 3⋅7538264019720 = 22614792059160 is not.

Almost surely, 2^{7538264019720} is an apocalyptic number.

7538264019720 is a gapful number since it is divisible by the number (70) 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 7538264019720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823035136000).

7538264019720 is an abundant number, since it is smaller than the sum of its proper divisors (22107806252280).

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

7538264019720 is a wasteful number, since it uses less digits than its factorization.

7538264019720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 7538264019720 in words is "seven trillion, five hundred thirty-eight billion, two hundred sixty-four million, nineteen thousand, seven hundred twenty".