1675337938560 has 768 divisors, whose sum is σ = 7009247260800. Its totient is φ = 374893608960.

The previous prime is 1675337938559. The next prime is 1675337938577. The reversal of 1675337938560 is 658397335761.

1675337938560 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 3 + 37 + 9 + 38 + 560 = 666.

It is a super-3 number, since 3×1675337938560³ (a number of 38 digits) contains 333 as substring.

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, 32097444 + ... + 32149596.

Almost surely, 2^{1675337938560} is an apocalyptic number.

1675337938560 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 1675337938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504623630400).

1675337938560 is an abundant number, since it is smaller than the sum of its proper divisors (5333909322240).

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

1675337938560 is a wasteful number, since it uses less digits than its factorization.

1675337938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52218 (or 52187 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 1675337938560 in words is "one trillion, six hundred seventy-five billion, three hundred thirty-seven million, nine hundred thirty-eight thousand, five hundred sixty".