8405995207680 has 1408 divisors, whose sum is σ = 34844879001600. Its totient is φ = 1882109509632.

The previous prime is 8405995207669. The next prime is 8405995207693. The reversal of 8405995207680 is 867025995048.

8405995207680 is a `hidden beast` number, since 8 + 40 + 5 + 9 + 9 + 520 + 7 + 68 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20552555316 + ... + 20552555724.

Almost surely, 2^{8405995207680} is an apocalyptic number.

8405995207680 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 8405995207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422439500800).

8405995207680 is an abundant number, since it is smaller than the sum of its proper divisors (26438883793920).

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

8405995207680 is a wasteful number, since it uses less digits than its factorization.

8405995207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 8405995207680 in words is "eight trillion, four hundred five billion, nine hundred ninety-five million, two hundred seven thousand, six hundred eighty".