1360327680 has 264 divisors, whose sum is σ = 4811055912. Its totient is φ = 355270656.

The previous prime is 1360327649. The next prime is 1360327687. The reversal of 1360327680 is 867230631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 1309860864 = 7104^2 + 36192^2 .

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 (1360327687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2441962 + ... + 2442518.

Almost surely, 2^1360327680 is an apocalyptic number.

1360327680 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 1360327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405527956).

1360327680 is an abundant number, since it is smaller than the sum of its proper divisors (3450728232).

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

1360327680 is a wasteful number, since it uses less digits than its factorization.

1360327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1360327680 is about 36882.6202973704. The cubic root of 1360327680 is about 1108.0206263239.

The spelling of 1360327680 in words is "one billion, three hundred sixty million, three hundred twenty-seven thousand, six hundred eighty".