5461217664 has 64 divisors (see below), whose sum is σ = 16578704640. Its totient is φ = 1560347136.

The previous prime is 5461217659. The next prime is 5461217669. The reversal of 5461217664 is 4667121645.

It is an interprime number because it is at equal distance from previous prime (5461217659) and next prime (5461217669).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461217669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013164 + ... + 1018539.

It is an arithmetic number, because the mean of its divisors is an integer number (259042260).

Almost surely, 2^5461217664 is an apocalyptic number.

It is an amenable number.

5461217664 is an abundant number, since it is smaller than the sum of its proper divisors (11117486976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5461217664 is a wasteful number, since it uses less digits than its factorization.

5461217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031727 (or 2031715 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 5461217664 is about 73900.0518538384. The cubic root of 5461217664 is about 1761.0154333161.

The spelling of 5461217664 in words is "five billion, four hundred sixty-one million, two hundred seventeen thousand, six hundred sixty-four".