1364840064 has 128 divisors (see below), whose sum is σ = 4603708800. Its totient is φ = 389947392.

The previous prime is 1364840063. The next prime is 1364840089. The reversal of 1364840064 is 4600484631.

1364840064 is a `hidden beast` number, since 1 + 3 + 648 + 4 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (1364840063) 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 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 52400.

It is an arithmetic number, because the mean of its divisors is an integer number (35966475).

Almost surely, 2^1364840064 is an apocalyptic number.

1364840064 is a gapful number since it is divisible by the number (14) 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 1364840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301854400).

1364840064 is an abundant number, since it is smaller than the sum of its proper divisors (3238868736).

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

1364840064 is an equidigital number, since it uses as much as digits as its factorization.

1364840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56447 (or 56429 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1364840064 is about 36943.7418786998. The cubic root of 1364840064 is about 1109.2444237073.

The spelling of 1364840064 in words is "one billion, three hundred sixty-four million, eight hundred forty thousand, sixty-four".