5468305920 has 480 divisors, whose sum is σ = 22201096896. Its totient is φ = 1135411200.

The previous prime is 5468305919. The next prime is 5468305951. The reversal of 5468305920 is 295038645.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4138860 + ... + 4140180.

Almost surely, 2^5468305920 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 5468305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100548448).

5468305920 is an abundant number, since it is smaller than the sum of its proper divisors (16732790976).

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

5468305920 is a wasteful number, since it uses less digits than its factorization.

5468305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5468305920 is about 73947.9946989775. The cubic root of 5468305920 is about 1761.7769931246.

The spelling of 5468305920 in words is "five billion, four hundred sixty-eight million, three hundred five thousand, nine hundred twenty".