7491268494528 has 672 divisors, whose sum is σ = 25217227224576. Its totient is φ = 1920938213376.

The previous prime is 7491268494509. The next prime is 7491268494529. The reversal of 7491268494528 is 8254948621947.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×7491268494528³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (7491268494529) 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 95 ways as a sum of consecutive naturals, for example, 1360314751 + ... + 1360320257.

Almost surely, 2^{7491268494528} is an apocalyptic number.

7491268494528 is a gapful number since it is divisible by the number (78) 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 7491268494528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608613612288).

7491268494528 is an abundant number, since it is smaller than the sum of its proper divisors (17725958730048).

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

7491268494528 is a wasteful number, since it uses less digits than its factorization.

7491268494528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5698 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 7491268494528 in words is "seven trillion, four hundred ninety-one billion, two hundred sixty-eight million, four hundred ninety-four thousand, five hundred twenty-eight".