5340686400 has 945 divisors, whose sum is σ = 23650688919. Its totient is φ = 1178634240.

The previous prime is 5340686353. The next prime is 5340686401. The reversal of 5340686400 is 46860435.

The square root of 5340686400 is 73080.

It is a perfect power (a square), and thus also a powerful number.

5340686400 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 6 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73410624 + 5267275776 = 8568^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5340686401) 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 134 ways as a sum of consecutive naturals, for example, 184161586 + ... + 184161614.

Almost surely, 2^5340686400 is an apocalyptic number.

5340686400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5340686400 is the 73080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340686400

5340686400 is an abundant number, since it is smaller than the sum of its proper divisors (18310002519).

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

5340686400 is a wasteful number, since it uses less digits than its factorization.

5340686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 5340686400 is about 1747.9634976764.

Multiplying 5340686400 by its sum of digits (36), we get a square (192264710400 = 438480²).

5340686400 divided by its sum of digits (36) gives a square (148352400 = 12180²).

The spelling of 5340686400 in words is "five billion, three hundred forty million, six hundred eighty-six thousand, four hundred".