3542066993664 has 300 divisors, whose sum is σ = 11051849046546. Its totient is φ = 1129347698688.

The previous prime is 3542066993639. The next prime is 3542066993681. The reversal of 3542066993664 is 4663996602453.

3542066993664 is a `hidden beast` number, since 3 + 5 + 4 + 206 + 69 + 9 + 366 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2311032363264 + 1231034630400 = 1520208^2 + 1109520^2 .

It is a super-3 number, since 3×3542066993664³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 29 ways as a sum of consecutive naturals, for example, 21857962 + ... + 22019414.

Almost surely, 2^{3542066993664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542066993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525924523273).

3542066993664 is an abundant number, since it is smaller than the sum of its proper divisors (7509782052882).

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

3542066993664 is an equidigital number, since it uses as much as digits as its factorization.

3542066993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161529 (or 161481 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 3542066993664 in words is "three trillion, five hundred forty-two billion, sixty-six million, nine hundred ninety-three thousand, six hundred sixty-four".