1364763840000 has 1200 divisors, whose sum is σ = 5168587522560. Its totient is φ = 319334400000.

The previous prime is 1364763839987. The next prime is 1364763840023. The reversal of 1364763840000 is 483674631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3600959811 + ... + 3600960189.

Almost surely, 2^{1364763840000} is an apocalyptic number.

1364763840000 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 1364763840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584293761280).

1364763840000 is an abundant number, since it is smaller than the sum of its proper divisors (3803823682560).

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

1364763840000 is an equidigital number, since it uses as much as digits as its factorization.

1364763840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 1364763840000 in words is "one trillion, three hundred sixty-four billion, seven hundred sixty-three million, eight hundred forty thousand".