6177968585712 has 120 divisors (see below), whose sum is σ = 21556028956800. Its totient is φ = 1604667162240.

The previous prime is 6177968585681. The next prime is 6177968585717. The reversal of 6177968585712 is 2175858697716.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6177968585717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278576962 + ... + 278599137.

It is an arithmetic number, because the mean of its divisors is an integer number (179633574640).

Almost surely, 2^{6177968585712} is an apocalyptic number.

It is an amenable number.

6177968585712 is an abundant number, since it is smaller than the sum of its proper divisors (15378060371088).

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

6177968585712 is a wasteful number, since it uses less digits than its factorization.

6177968585712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557176131 (or 557176122 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 72.

The spelling of 6177968585712 in words is "six trillion, one hundred seventy-seven billion, nine hundred sixty-eight million, five hundred eighty-five thousand, seven hundred twelve".