5461656304 has 80 divisors (see below), whose sum is σ = 11932048800. Its totient is φ = 2404297728.

The previous prime is 5461656293. The next prime is 5461656329. The reversal of 5461656304 is 4036561645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495202 + ... + 506110.

It is an arithmetic number, because the mean of its divisors is an integer number (149150610).

Almost surely, 2^5461656304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461656304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966024400).

5461656304 is an abundant number, since it is smaller than the sum of its proper divisors (6470392496).

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

5461656304 is a wasteful number, since it uses less digits than its factorization.

5461656304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 5461656304 is about 73903.0195864824. The cubic root of 5461656304 is about 1761.0625797693.

The spelling of 5461656304 in words is "five billion, four hundred sixty-one million, six hundred fifty-six thousand, three hundred four".