5340276864 has 384 divisors, whose sum is σ = 17589761280. Its totient is φ = 1602478080.

The previous prime is 5340276847. The next prime is 5340276869. The reversal of 5340276864 is 4686720435.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5340276869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19004404 + ... + 19004684.

It is an arithmetic number, because the mean of its divisors is an integer number (45806670).

Almost surely, 2^5340276864 is an apocalyptic number.

5340276864 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 5340276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794880640).

5340276864 is an abundant number, since it is smaller than the sum of its proper divisors (12249484416).

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

5340276864 is a wasteful number, since it uses less digits than its factorization.

5340276864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5340276864 is about 73077.1979758392. The cubic root of 5340276864 is about 1747.9188172600.

The spelling of 5340276864 in words is "five billion, three hundred forty million, two hundred seventy-six thousand, eight hundred sixty-four".