806348390400000 has 3960 divisors, whose sum is σ = 3615782049012672. Its totient is φ = 178362777600000.

The previous prime is 806348390399989. The next prime is 806348390400001. The reversal of 806348390400000 is 4093843608.

806348390400000 is a `hidden beast` number, since 8 + 0 + 634 + 8 + 3 + 9 + 0 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806348390400001) 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 179 ways as a sum of consecutive naturals, for example, 26011238399985 + ... + 26011238400015.

Almost surely, 2^{806348390400000} is an apocalyptic number.

806348390400000 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 806348390400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807891024506336).

806348390400000 is an abundant number, since it is smaller than the sum of its proper divisors (2809433658612672).

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

806348390400000 is an frugal number, since it uses more digits than its factorization.

806348390400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 806348390400000 in words is "eight hundred six trillion, three hundred forty-eight billion, three hundred ninety million, four hundred thousand".