75417743866921 has 27 divisors (see below), whose sum is σ = 77033847699837. Its totient is φ = 73835292298680.

The previous prime is 75417743866879. The next prime is 75417743866963. The reversal of 75417743866921 is 12966834771457.

The square root of 75417743866921 is 8684339.

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

It is an interprime number because it is at equal distance from previous prime (75417743866879) and next prime (75417743866963).

It is not a de Polignac number, because 75417743866921 - 2¹³ = 75417743858729 is a prime.

It is a super-2 number, since 2×75417743866921² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75417743866991) 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, 132080111566 + ... + 132080112136.

Almost surely, 2^{75417743866921} is an apocalyptic number.

75417743866921 is the 8684339-th square number.

75417743866921 is the 4342170-th centered octagonal number.

It is an amenable number.

75417743866921 is a deficient number, since it is larger than the sum of its proper divisors (1616103832916).

75417743866921 is an frugal number, since it uses more digits than its factorization.

75417743866921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 865 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 70.

The spelling of 75417743866921 in words is "seventy-five trillion, four hundred seventeen billion, seven hundred forty-three million, eight hundred sixty-six thousand, nine hundred twenty-one".