1364805870480 has 720 divisors, whose sum is σ = 5308502327856. Its totient is φ = 312224440320.

The previous prime is 1364805870367. The next prime is 1364805870481. The reversal of 1364805870480 is 840785084631.

1364805870480 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 80 + 5 + 87 + 0 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6331703184 + 1358474167296 = 79572^2 + 1165536^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1364805870481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179081070 + ... + 179088690.

Almost surely, 2^{1364805870480} is an apocalyptic number.

1364805870480 is a gapful number since it is divisible by the number (10) 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 1364805870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654251163928).

1364805870480 is an abundant number, since it is smaller than the sum of its proper divisors (3943696457376).

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

1364805870480 is a wasteful number, since it uses less digits than its factorization.

1364805870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1364805870480 in words is "one trillion, three hundred sixty-four billion, eight hundred five million, eight hundred seventy thousand, four hundred eighty".