6911198965440 has 1344 divisors, whose sum is σ = 30540480122880. Its totient is φ = 1392954900480.

The previous prime is 6911198965427. The next prime is 6911198965457. The reversal of 6911198965440 is 445698911196.

6911198965440 is a `hidden beast` number, since 6 + 9 + 1 + 1 + 1 + 9 + 89 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×6911198965440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 1046038617 + ... + 1046045223.

It is an arithmetic number, because the mean of its divisors is an integer number (22723571520).

Almost surely, 2^{6911198965440} is an apocalyptic number.

6911198965440 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 6911198965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270240061440).

6911198965440 is an abundant number, since it is smaller than the sum of its proper divisors (23629281157440).

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

6911198965440 is a wasteful number, since it uses less digits than its factorization.

6911198965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 6911198965440 in words is "six trillion, nine hundred eleven billion, one hundred ninety-eight million, nine hundred sixty-five thousand, four hundred forty".