2697865325568 has 2200 divisors, whose sum is σ = 10656326968320. Its totient is φ = 675967057920.

The previous prime is 2697865325543. The next prime is 2697865325633. The reversal of 2697865325568 is 8655235687962.

2697865325568 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 8 + 6 + 53 + 2 + 5 + 568 = 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 = 2697865325496 and 2697865325505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 87027913713 + ... + 87027913743.

Almost surely, 2^{2697865325568} is an apocalyptic number.

2697865325568 is a gapful number since it is divisible by the number (28) 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 2697865325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328163484160).

2697865325568 is an abundant number, since it is smaller than the sum of its proper divisors (7958461642752).

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

2697865325568 is an equidigital number, since it uses as much as digits as its factorization.

2697865325568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 2697865325568 in words is "two trillion, six hundred ninety-seven billion, eight hundred sixty-five million, three hundred twenty-five thousand, five hundred sixty-eight".