5340086784 has 320 divisors, whose sum is σ = 17300321280. Its totient is φ = 1619066880.

The previous prime is 5340086747. The next prime is 5340086803. The reversal of 5340086784 is 4876800435.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7284882 + ... + 7285614.

It is an arithmetic number, because the mean of its divisors is an integer number (54063504).

Almost surely, 2^5340086784 is an apocalyptic number.

5340086784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650160640).

5340086784 is an abundant number, since it is smaller than the sum of its proper divisors (11960234496).

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

5340086784 is a wasteful number, since it uses less digits than its factorization.

5340086784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5340086784 is about 73075.8974217902. The cubic root of 5340086784 is about 1747.8980787378.

The spelling of 5340086784 in words is "five billion, three hundred forty million, eighty-six thousand, seven hundred eighty-four".