3564065754375 has 240 divisors, whose sum is σ = 7468086447360. Its totient is φ = 1476370368000.

The previous prime is 3564065754371. The next prime is 3564065754479. The reversal of 3564065754375 is 5734575604653.

It is a happy number.

It is not a de Polignac number, because 3564065754375 - 2² = 3564065754371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564065754371) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 131905867 + ... + 131932883.

It is an arithmetic number, because the mean of its divisors is an integer number (31117026864).

Almost surely, 2^{3564065754375} is an apocalyptic number.

3564065754375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3564065754375 is an abundant number, since it is smaller than the sum of its proper divisors (3904020692985).

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

3564065754375 is a wasteful number, since it uses less digits than its factorization.

3564065754375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27112 (or 27074 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 60.

The spelling of 3564065754375 in words is "three trillion, five hundred sixty-four billion, sixty-five million, seven hundred fifty-four thousand, three hundred seventy-five".