1675165639680 has 1584 divisors, whose sum is σ = 6754469589504. Its totient is φ = 397494190080.

The previous prime is 1675165639669. The next prime is 1675165639691. The reversal of 1675165639680 is 869365615761.

1675165639680 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 1 + 6 + 563 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1675165639669) and next prime (1675165639691).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6518154112 + ... + 6518154368.

Almost surely, 2^{1675165639680} is an apocalyptic number.

1675165639680 is a gapful number since it is divisible by the number (10) 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 1675165639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377234794752).

1675165639680 is an abundant number, since it is smaller than the sum of its proper divisors (5079303949824).

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

1675165639680 is a wasteful number, since it uses less digits than its factorization.

1675165639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 1675165639680 in words is "one trillion, six hundred seventy-five billion, one hundred sixty-five million, six hundred thirty-nine thousand, six hundred eighty".