7474761468001 has 27 divisors (see below), whose sum is σ = 7679666208403. Its totient is φ = 7275286021040.

The previous prime is 7474761467977. The next prime is 7474761468007. The reversal of 7474761468001 is 1008641674747.

The square root of 7474761468001 is 2734001.

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

It can be written as a sum of positive squares in only one way, i.e., 875719768401 + 6599041699600 = 935799^2 + 2568860^2 .

It is not a de Polignac number, because 7474761468001 - 2⁴¹ = 5275738212449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7474761468007) 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, 24034602636 + ... + 24034602946.

Almost surely, 2^{7474761468001} is an apocalyptic number.

7474761468001 is the 2734001-st square number.

7474761468001 is the 1367001-st centered octagonal number.

It is an amenable number.

7474761468001 is a deficient number, since it is larger than the sum of its proper divisors (204904740402).

7474761468001 is an frugal number, since it uses more digits than its factorization.

7474761468001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 7474761468001 in words is "seven trillion, four hundred seventy-four billion, seven hundred sixty-one million, four hundred sixty-eight thousand, one".