1675008133632 has 120 divisors (see below), whose sum is σ = 4853000382516. Its totient is φ = 556163137536.

The previous prime is 1675008133613. The next prime is 1675008133693. The reversal of 1675008133632 is 2363318005761.

1675008133632 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 0 + 0 + 8 + 1 + 3 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 978010235136 + 696997898496 = 988944^2 + 834864^2 .

It is a super-2 number, since 2×1675008133632² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477058 + ... + 1891454.

Almost surely, 2^{1675008133632} is an apocalyptic number.

1675008133632 is a gapful number since it is divisible by the number (12) 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 1675008133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426500191258).

1675008133632 is an abundant number, since it is smaller than the sum of its proper divisors (3177992248884).

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

1675008133632 is a wasteful number, since it uses less digits than its factorization.

1675008133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414678 (or 1414659 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1675008133632 in words is "one trillion, six hundred seventy-five billion, eight million, one hundred thirty-three thousand, six hundred thirty-two".