806007547368 has 128 divisors (see below), whose sum is σ = 2245486320000. Its totient is φ = 267880919040.

The previous prime is 806007547363. The next prime is 806007547399. The reversal of 806007547368 is 863745700608.

806007547368 is a `hidden beast` number, since 8 + 0 + 60 + 0 + 7 + 547 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (806007547363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227619678 + ... + 227623218.

It is an arithmetic number, because the mean of its divisors is an integer number (17542861875).

Almost surely, 2^806007547368 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 806007547368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122743160000).

806007547368 is an abundant number, since it is smaller than the sum of its proper divisors (1439478772632).

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

806007547368 is a wasteful number, since it uses less digits than its factorization.

806007547368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 806007547368 in words is "eight hundred six billion, seven million, five hundred forty-seven thousand, three hundred sixty-eight".