1364368896 has 180 divisors, whose sum is σ = 4329941616. Its totient is φ = 413276160.

The previous prime is 1364368879. The next prime is 1364368913. The reversal of 1364368896 is 6988634631.

It is an interprime number because it is at equal distance from previous prime (1364368879) and next prime (1364368913).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556345 + ... + 558791.

Almost surely, 2^1364368896 is an apocalyptic number.

1364368896 is a gapful number since it is divisible by the number (16) 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 1364368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164970808).

1364368896 is an abundant number, since it is smaller than the sum of its proper divisors (2965572720).

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

1364368896 is a wasteful number, since it uses less digits than its factorization.

1364368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2463 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1364368896 is about 36937.3644972134. The cubic root of 1364368896 is about 1109.1167651282.

The spelling of 1364368896 in words is "one billion, three hundred sixty-four million, three hundred sixty-eight thousand, eight hundred ninety-six".