806010004800 has 4032 divisors, whose sum is σ = 4237295462400. Its totient is φ = 145118822400.

The previous prime is 806010004799. The next prime is 806010004801. The reversal of 806010004800 is 8400010608.

806010004800 is a `hidden beast` number, since 80 + 6 + 0 + 100 + 0 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (806010004799) and next prime (806010004801).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806010004801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7394587146 + ... + 7394587254.

Almost surely, 2^806010004800 is an apocalyptic number.

806010004800 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 806010004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118647731200).

806010004800 is an abundant number, since it is smaller than the sum of its proper divisors (3431285457600).

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

806010004800 is a wasteful number, since it uses less digits than its factorization.

806010004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 806010004800 in words is "eight hundred six billion, ten million, four thousand, eight hundred".