6697145609568 has 576 divisors, whose sum is σ = 21121288151040. Its totient is φ = 2063569996800.

The previous prime is 6697145609509. The next prime is 6697145609593. The reversal of 6697145609568 is 8659065417966.

6697145609568 is a `hidden beast` number, since 6 + 6 + 9 + 7 + 1 + 4 + 5 + 609 + 5 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6697145609496 and 6697145609505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2492423521 + ... + 2492426207.

It is an arithmetic number, because the mean of its divisors is an integer number (36668903040).

Almost surely, 2^{6697145609568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6697145609568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560644075520).

6697145609568 is an abundant number, since it is smaller than the sum of its proper divisors (14424142541472).

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

6697145609568 is a wasteful number, since it uses less digits than its factorization.

6697145609568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 6697145609568 in words is "six trillion, six hundred ninety-seven billion, one hundred forty-five million, six hundred nine thousand, five hundred sixty-eight".