6711958978560 has 1440 divisors, whose sum is σ = 27110314828800. Its totient is φ = 1572706713600.

The previous prime is 6711958978559. The next prime is 6711958978561. The reversal of 6711958978560 is 658798591176.

6711958978560 is a `hidden beast` number, since 6 + 7 + 1 + 1 + 9 + 58 + 9 + 7 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6711958978559) and next prime (6711958978561).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (6711958978561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8296611436 + ... + 8296612244.

It is an arithmetic number, because the mean of its divisors is an integer number (18826607520).

Almost surely, 2^{6711958978560} is an apocalyptic number.

6711958978560 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 6711958978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555157414400).

6711958978560 is an abundant number, since it is smaller than the sum of its proper divisors (20398355850240).

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

6711958978560 is a wasteful number, since it uses less digits than its factorization.

6711958978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 6711958978560 in words is "six trillion, seven hundred eleven billion, nine hundred fifty-eight million, nine hundred seventy-eight thousand, five hundred sixty".