806355630360 has 576 divisors, whose sum is σ = 3117672866880. Its totient is φ = 177009960960.

The previous prime is 806355630343. The next prime is 806355630389. The reversal of 806355630360 is 63036553608.

806355630360 is a `hidden beast` number, since 8 + 0 + 6 + 3 + 5 + 5 + 630 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×806355630360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 284226862 + ... + 284229698.

It is an arithmetic number, because the mean of its divisors is an integer number (5412626505).

Almost surely, 2^806355630360 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 806355630360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558836433440).

806355630360 is an abundant number, since it is smaller than the sum of its proper divisors (2311317236520).

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

806355630360 is a wasteful number, since it uses less digits than its factorization.

806355630360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 806355630360 in words is "eight hundred six billion, three hundred fifty-five million, six hundred thirty thousand, three hundred sixty".