805151168640 has 768 divisors, whose sum is σ = 3427419340800. Its totient is φ = 169603891200.

The previous prime is 805151168603. The next prime is 805151168671. The reversal of 805151168640 is 46861151508.

805151168640 is a `hidden beast` number, since 8 + 0 + 51 + 511 + 6 + 86 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629515521 + ... + 629516799.

It is an arithmetic number, because the mean of its divisors is an integer number (4462785600).

Almost surely, 2^805151168640 is an apocalyptic number.

805151168640 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 805151168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713709670400).

805151168640 is an abundant number, since it is smaller than the sum of its proper divisors (2622268172160).

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

805151168640 is a wasteful number, since it uses less digits than its factorization.

805151168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 805151168640 in words is "eight hundred five billion, one hundred fifty-one million, one hundred sixty-eight thousand, six hundred forty".