1364224680000 has 2100 divisors, whose sum is σ = 6340171505052. Its totient is φ = 287400960000.

The previous prime is 1364224679981. The next prime is 1364224680001. The reversal of 1364224680000 is 864224631.

1364224680000 is a `hidden beast` number, since 1 + 3 + 642 + 2 + 4 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1091590323264 + 272634356736 = 1044792^2 + 522144^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×1364224680000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364224680001) 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 299 ways as a sum of consecutive naturals, for example, 2063879670 + ... + 2063880330.

Almost surely, 2^{1364224680000} is an apocalyptic number.

1364224680000 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 1364224680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170085752526).

1364224680000 is an abundant number, since it is smaller than the sum of its proper divisors (4975946825052).

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

1364224680000 is an equidigital number, since it uses as much as digits as its factorization.

1364224680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 691 counting only the distinct ones).

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

The spelling of 1364224680000 in words is "one trillion, three hundred sixty-four billion, two hundred twenty-four million, six hundred eighty thousand".