5345907840 has 1152 divisors, whose sum is σ = 24379729920. Its totient is φ = 1068318720.

The previous prime is 5345907817. The next prime is 5345907851. The reversal of 5345907840 is 487095435.

5345907840 is a `hidden beast` number, since 53 + 4 + 590 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113742697 + ... + 113742743.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^5345907840 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 5345907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189864960).

5345907840 is an abundant number, since it is smaller than the sum of its proper divisors (19033822080).

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

5345907840 is a wasteful number, since it uses less digits than its factorization.

5345907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5345907840 is about 73115.7154105737. The cubic root of 5345907840 is about 1748.5329571734.

The spelling of 5345907840 in words is "five billion, three hundred forty-five million, nine hundred seven thousand, eight hundred forty".