5345377920 has 576 divisors, whose sum is σ = 20477152800. Its totient is φ = 1330255872.

The previous prime is 5345377903. The next prime is 5345377931. The reversal of 5345377920 is 297735435.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79781727 + ... + 79781793.

Almost surely, 2^5345377920 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 5345377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238576400).

5345377920 is an abundant number, since it is smaller than the sum of its proper divisors (15131774880).

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

5345377920 is an frugal number, since it uses more digits than its factorization.

5345377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 5345377920 is about 73112.0914760342. The cubic root of 5345377920 is about 1748.4751800705.

The spelling of 5345377920 in words is "five billion, three hundred forty-five million, three hundred seventy-seven thousand, nine hundred twenty".