1359079680 has 432 divisors, whose sum is σ = 5234471424. Its totient is φ = 299335680.

The previous prime is 1359079679. The next prime is 1359079681. The reversal of 1359079680 is 869709531.

It is an interprime number because it is at equal distance from previous prime (1359079679) and next prime (1359079681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1359079681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832844 + ... + 5833076.

It is an arithmetic number, because the mean of its divisors is an integer number (12116832).

Almost surely, 2^1359079680 is an apocalyptic number.

1359079680 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 1359079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617235712).

1359079680 is an abundant number, since it is smaller than the sum of its proper divisors (3875391744).

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

1359079680 is a wasteful number, since it uses less digits than its factorization.

1359079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1359079680 is about 36865.6978775663. The cubic root of 1359079680 is about 1107.6816803349.

The spelling of 1359079680 in words is "one billion, three hundred fifty-nine million, seventy-nine thousand, six hundred eighty".