806918966599680 has 1344 divisors, whose sum is σ = 3319364295878400. Its totient is φ = 185320518451200.

The previous prime is 806918966599673. The next prime is 806918966599709. The reversal of 806918966599680 is 86995669819608.

806918966599680 is a `hidden beast` number, since 8 + 0 + 6 + 9 + 1 + 8 + 9 + 6 + 6 + 599 + 6 + 8 + 0 = 666.

806918966599680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×806918966599680² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

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, 2542351395 + ... + 2542668765.

It is an arithmetic number, because the mean of its divisors is an integer number (2469765101100).

Almost surely, 2^{806918966599680} is an apocalyptic number.

806918966599680 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 806918966599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659682147939200).

806918966599680 is an abundant number, since it is smaller than the sum of its proper divisors (2512445329278720).

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

806918966599680 is a wasteful number, since it uses less digits than its factorization.

806918966599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317452 (or 317411 counting only the distinct ones).

The product of its (nonzero) digits is 21767823360, while the sum is 90.

The spelling of 806918966599680 in words is "eight hundred six trillion, nine hundred eighteen billion, nine hundred sixty-six million, five hundred ninety-nine thousand, six hundred eighty".