6712382765760 has 224 divisors, whose sum is σ = 24412621158912. Its totient is φ = 1530714931200.

The previous prime is 6712382765729. The next prime is 6712382765779. The reversal of 6712382765760 is 675672832176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6712382765694 and 6712382765703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756335 + ... + 4063185.

It is an arithmetic number, because the mean of its divisors is an integer number (108984915888).

Almost surely, 2^{6712382765760} is an apocalyptic number.

6712382765760 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 6712382765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206310579456).

6712382765760 is an abundant number, since it is smaller than the sum of its proper divisors (17700238393152).

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

6712382765760 is a wasteful number, since it uses less digits than its factorization.

6712382765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307311 (or 2307301 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 6712382765760 in words is "six trillion, seven hundred twelve billion, three hundred eighty-two million, seven hundred sixty-five thousand, seven hundred sixty".