1320645339000 has 768 divisors, whose sum is σ = 4948085076480. Its totient is φ = 315662745600.

The previous prime is 1320645338989. The next prime is 1320645339001. The reversal of 1320645339000 is 9335460231.

It is a happy number.

1320645339000 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 645 + 3 + 3 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1320645339000² (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 (1320645339001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 753362124 + ... + 753363876.

It is an arithmetic number, because the mean of its divisors is an integer number (6442819110).

Almost surely, 2^{1320645339000} is an apocalyptic number.

1320645339000 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 1320645339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474042538240).

1320645339000 is an abundant number, since it is smaller than the sum of its proper divisors (3627439737480).

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

1320645339000 is a wasteful number, since it uses less digits than its factorization.

1320645339000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 1320645339000 in words is "one trillion, three hundred twenty billion, six hundred forty-five million, three hundred thirty-nine thousand".