1694512006640 has 80 divisors (see below), whose sum is σ = 3979051128000. Its totient is φ = 671045185536.

The previous prime is 1694512006639. The next prime is 1694512006651. The reversal of 1694512006640 is 466002154961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1694512006640³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1694512006591 and 1694512006600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33338366 + ... + 33389154.

It is an arithmetic number, because the mean of its divisors is an integer number (49738139100).

Almost surely, 2^{1694512006640} is an apocalyptic number.

1694512006640 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 1694512006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989525564000).

1694512006640 is an abundant number, since it is smaller than the sum of its proper divisors (2284539121360).

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

1694512006640 is a wasteful number, since it uses less digits than its factorization.

1694512006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54954 (or 54948 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 1694512006640 in words is "one trillion, six hundred ninety-four billion, five hundred twelve million, six thousand, six hundred forty".