6780735360 has 384 divisors, whose sum is σ = 27389007360. Its totient is φ = 1513451520.

The previous prime is 6780735341. The next prime is 6780735361. The reversal of 6780735360 is 635370876.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780735361) 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, 1731805 + ... + 1735715.

It is an arithmetic number, because the mean of its divisors is an integer number (71325540).

Almost surely, 2^6780735360 is an apocalyptic number.

6780735360 is a gapful number since it is divisible by the number (60) 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 6780735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694503680).

6780735360 is an abundant number, since it is smaller than the sum of its proper divisors (20608272000).

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

6780735360 is a wasteful number, since it uses less digits than its factorization.

6780735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6780735360 is about 82345.2206263363. The cubic root of 6780735360 is about 1892.7456859507.

The spelling of 6780735360 in words is "six billion, seven hundred eighty million, seven hundred thirty-five thousand, three hundred sixty".