1806966742464 has 672 divisors, whose sum is σ = 5865501096000. Its totient is φ = 528028139520.

The previous prime is 1806966742409. The next prime is 1806966742489. The reversal of 1806966742464 is 4642476696081.

It is a happy number.

1806966742464 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 96 + 67 + 424 + 64 = 666.

It is a congruent number.

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, 5177554962 + ... + 5177555310.

It is an arithmetic number, because the mean of its divisors is an integer number (8728424250).

Almost surely, 2^{1806966742464} 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 1806966742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932750548000).

1806966742464 is an abundant number, since it is smaller than the sum of its proper divisors (4058534353536).

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

1806966742464 is a wasteful number, since it uses less digits than its factorization.

1806966742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 1806966742464 in words is "one trillion, eight hundred six billion, nine hundred sixty-six million, seven hundred forty-two thousand, four hundred sixty-four".