8040696269760 has 2016 divisors, whose sum is σ = 35840763878400. Its totient is φ = 1635781754880.

The previous prime is 8040696269729. The next prime is 8040696269813. The reversal of 8040696269760 is 679626960408.

8040696269760 is a `hidden beast` number, since 80 + 406 + 9 + 6 + 2 + 6 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21215557251 + ... + 21215557629.

Almost surely, 2^{8040696269760} is an apocalyptic number.

8040696269760 is a gapful number since it is divisible by the number (80) 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 8040696269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920381939200).

8040696269760 is an abundant number, since it is smaller than the sum of its proper divisors (27800067608640).

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

8040696269760 is a wasteful number, since it uses less digits than its factorization.

8040696269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 8040696269760 in words is "eight trillion, forty billion, six hundred ninety-six million, two hundred sixty-nine thousand, seven hundred sixty".