1675560968640 has 336 divisors, whose sum is σ = 6571651177728. Its totient is φ = 388184113152.

The previous prime is 1675560968633. The next prime is 1675560968663. The reversal of 1675560968640 is 468690655761.

1675560968640 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 560 + 9 + 6 + 8 + 64 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 679792 + ... + 1952751.

It is an arithmetic number, because the mean of its divisors is an integer number (19558485648).

Almost surely, 2^{1675560968640} is an apocalyptic number.

1675560968640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1675560968640 is an abundant number, since it is smaller than the sum of its proper divisors (4896090209088).

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

1675560968640 is a wasteful number, since it uses less digits than its factorization.

1675560968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632596 (or 2632583 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1675560968640 in words is "one trillion, six hundred seventy-five billion, five hundred sixty million, nine hundred sixty-eight thousand, six hundred forty".