1365979680 has 288 divisors, whose sum is σ = 5179749120. Its totient is φ = 336061440.

The previous prime is 1365979661. The next prime is 1365979751. The reversal of 1365979680 is 869795631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729145 + ... + 731015.

It is an arithmetic number, because the mean of its divisors is an integer number (17985240).

Almost surely, 2^1365979680 is an apocalyptic number.

1365979680 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 1365979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589874560).

1365979680 is an abundant number, since it is smaller than the sum of its proper divisors (3813769440).

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

1365979680 is a wasteful number, since it uses less digits than its factorization.

1365979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1365979680 is about 36959.1623281697. The cubic root of 1365979680 is about 1109.5530706208.

It can be divided in two parts, 13659 and 79680, that added together give a palindrome (93339).

The spelling of 1365979680 in words is "one billion, three hundred sixty-five million, nine hundred seventy-nine thousand, six hundred eighty".