5407629335761 has 27 divisors (see below), whose sum is σ = 5538399037353. Its totient is φ = 5279937594120.

The previous prime is 5407629335749. The next prime is 5407629335789. The reversal of 5407629335761 is 1675339267045.

The square root of 5407629335761 is 2325431.

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

It is not a de Polignac number, because 5407629335761 - 2¹¹ = 5407629333713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5407629335696 and 5407629335705.

It is not an unprimeable number, because it can be changed into a prime (5407629335561) 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, 25628574946 + ... + 25628575156.

Almost surely, 2^{5407629335761} is an apocalyptic number.

5407629335761 is the 2325431-st square number.

5407629335761 is the 1162716-th centered octagonal number.

It is an amenable number.

5407629335761 is a deficient number, since it is larger than the sum of its proper divisors (130769701592).

5407629335761 is an frugal number, since it uses more digits than its factorization.

5407629335761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 58.

The spelling of 5407629335761 in words is "five trillion, four hundred seven billion, six hundred twenty-nine million, three hundred thirty-five thousand, seven hundred sixty-one".