6765742080 has 288 divisors, whose sum is σ = 24326265600. Its totient is φ = 1803534336.

The previous prime is 6765742057. The next prime is 6765742097. The reversal of 6765742080 is 802475676.

6765742080 is a `hidden beast` number, since 6 + 76 + 574 + 2 + 0 + 8 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2486961 + ... + 2489679.

It is an arithmetic number, because the mean of its divisors is an integer number (84466200).

Almost surely, 2^6765742080 is an apocalyptic number.

6765742080 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 6765742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163132800).

6765742080 is an abundant number, since it is smaller than the sum of its proper divisors (17560523520).

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

6765742080 is an equidigital number, since it uses as much as digits as its factorization.

6765742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6765742080 is about 82254.1310816667. The cubic root of 6765742080 is about 1891.3496029455.

The spelling of 6765742080 in words is "six billion, seven hundred sixty-five million, seven hundred forty-two thousand, eighty".