806467085091360 has 11520 divisors, whose sum is σ = 4148613697536000. Its totient is φ = 146588284846080.

The previous prime is 806467085091359. The next prime is 806467085091439. The reversal of 806467085091360 is 63190580764608.

806467085091360 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 67 + 0 + 8 + 509 + 1 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 11047494316284 + ... + 11047494316356.

It is an arithmetic number, because the mean of its divisors is an integer number (360122716800).

Almost surely, 2^{806467085091360} is an apocalyptic number.

806467085091360 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 806467085091360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074306848768000).

806467085091360 is an abundant number, since it is smaller than the sum of its proper divisors (3342146612444640).

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

806467085091360 is a wasteful number, since it uses less digits than its factorization.

806467085091360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 806467085091360 in words is "eight hundred six trillion, four hundred sixty-seven billion, eighty-five million, ninety-one thousand, three hundred sixty".