1506405640168 has 96 divisors (see below), whose sum is σ = 3428803738080. Its totient is φ = 611668886400.

The previous prime is 1506405640153. The next prime is 1506405640171. The reversal of 1506405640168 is 8610465046051.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414271 + ... + 1784497.

It is an arithmetic number, because the mean of its divisors is an integer number (35716705605).

Almost surely, 2^{1506405640168} 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 1506405640168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714401869040).

1506405640168 is an abundant number, since it is smaller than the sum of its proper divisors (1922398097912).

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

1506405640168 is a wasteful number, since it uses less digits than its factorization.

1506405640168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370319 (or 1370284 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 1506405640168 in words is "one trillion, five hundred six billion, four hundred five million, six hundred forty thousand, one hundred sixty-eight".