805063484160 has 720 divisors, whose sum is σ = 3111420999456. Its totient is φ = 197584551936.

The previous prime is 805063484149. The next prime is 805063484161. The reversal of 805063484160 is 61484360508.

805063484160 is a `hidden beast` number, since 8 + 0 + 5 + 0 + 6 + 3 + 484 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (805063484161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 615962227 + ... + 615963533.

Almost surely, 2^805063484160 is an apocalyptic number.

805063484160 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 805063484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555710499728).

805063484160 is an abundant number, since it is smaller than the sum of its proper divisors (2306357515296).

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

805063484160 is a wasteful number, since it uses less digits than its factorization.

805063484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 805063484160 in words is "eight hundred five billion, sixty-three million, four hundred eighty-four thousand, one hundred sixty".