6442713806760 has 384 divisors, whose sum is σ = 27253040457600. Its totient is φ = 1338745605120.

The previous prime is 6442713806677. The next prime is 6442713806761. The reversal of 6442713806760 is 676083172446.

6442713806760 is a `hidden beast` number, since 6 + 442 + 7 + 1 + 3 + 80 + 67 + 60 = 666.

It is a super-2 number, since 2×6442713806760² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6442713806697 and 6442713806706.

It is not an unprimeable number, because it can be changed into a prime (6442713806761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4951717 + ... + 6115956.

It is an arithmetic number, because the mean of its divisors is an integer number (70971459525).

Almost surely, 2^{6442713806760} is an apocalyptic number.

6442713806760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6442713806760 is an abundant number, since it is smaller than the sum of its proper divisors (20810326650840).

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

6442713806760 is a wasteful number, since it uses less digits than its factorization.

6442713806760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067718 (or 11067701 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 6442713806760 in words is "six trillion, four hundred forty-two billion, seven hundred thirteen million, eight hundred six thousand, seven hundred sixty".