7491776626321 has 27 divisors (see below), whose sum is σ = 8150605200273. Its totient is φ = 6883067773920.

The previous prime is 7491776626273. The next prime is 7491776626331. The reversal of 7491776626321 is 1236266771947.

The square root of 7491776626321 is 2737111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 731984624721 + 6759792001600 = 855561^2 + 2599960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7491776626321 is a prime.

It is a super-2 number, since 2×7491776626321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7491776626321.

It is not an unprimeable number, because it can be changed into a prime (7491776626331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11066139435 + ... + 11066140111.

Almost surely, 2^{7491776626321} is an apocalyptic number.

7491776626321 is the 2737111-st square number.

7491776626321 is the 1368556-th centered octagonal number.

It is an amenable number.

7491776626321 is a deficient number, since it is larger than the sum of its proper divisors (658828573952).

7491776626321 is an frugal number, since it uses more digits than its factorization.

7491776626321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1001 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 61.

The spelling of 7491776626321 in words is "seven trillion, four hundred ninety-one billion, seven hundred seventy-six million, six hundred twenty-six thousand, three hundred twenty-one".