806746801392 has 480 divisors, whose sum is σ = 2740883857920. Its totient is φ = 216387624960.

The previous prime is 806746801391. The next prime is 806746801453. The reversal of 806746801392 is 293108647608.

806746801392 is a `hidden beast` number, since 80 + 6 + 7 + 468 + 0 + 13 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806746801391) by changing a digit.

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, 1548458092 + ... + 1548458612.

It is an arithmetic number, because the mean of its divisors is an integer number (5710174704).

Almost surely, 2^806746801392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806746801392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370441928960).

806746801392 is an abundant number, since it is smaller than the sum of its proper divisors (1934137056528).

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

806746801392 is a wasteful number, since it uses less digits than its factorization.

806746801392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 806746801392 in words is "eight hundred six billion, seven hundred forty-six million, eight hundred one thousand, three hundred ninety-two".