8147667834640 has 20 divisors (see below), whose sum is σ = 18943327715724. Its totient is φ = 3259067133824.

The previous prime is 8147667834611. The next prime is 8147667834679. The reversal of 8147667834640 is 464387667418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3307175022096 + 4840492812544 = 1818564^2 + 2200112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×8147667834640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50922923887 + ... + 50922924046.

Almost surely, 2^{8147667834640} is an apocalyptic number.

8147667834640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8147667834640 is an abundant number, since it is smaller than the sum of its proper divisors (10795659881084).

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

8147667834640 is a wasteful number, since it uses less digits than its factorization.

8147667834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101845847946 (or 101845847940 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 64.

The spelling of 8147667834640 in words is "eight trillion, one hundred forty-seven billion, six hundred sixty-seven million, eight hundred thirty-four thousand, six hundred forty".