6465626541 has 48 divisors (see below), whose sum is σ = 10800915840. Its totient is φ = 3683496960.

The previous prime is 6465626513. The next prime is 6465626591. The reversal of 6465626541 is 1456265646.

6465626541 is a `hidden beast` number, since 6 + 46 + 5 + 62 + 6 + 541 = 666.

It is not a de Polignac number, because 6465626541 - 2⁶ = 6465626477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6465626591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736680 + ... + 1740398.

It is an arithmetic number, because the mean of its divisors is an integer number (225019080).

Almost surely, 2^6465626541 is an apocalyptic number.

It is an amenable number.

6465626541 is a deficient number, since it is larger than the sum of its proper divisors (4335289299).

6465626541 is a wasteful number, since it uses less digits than its factorization.

6465626541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4783 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 6465626541 is about 80409.1197626239. The cubic root of 6465626541 is about 1862.9600362411.

The spelling of 6465626541 in words is "six billion, four hundred sixty-five million, six hundred twenty-six thousand, five hundred forty-one".