8127664038 has 64 divisors (see below), whose sum is σ = 19463270400. Its totient is φ = 2499219360.

The previous prime is 8127664037. The next prime is 8127664133. The reversal of 8127664038 is 8304667218.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8127663984 and 8127664002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8127664037) 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, 1569193 + ... + 1574363.

It is an arithmetic number, because the mean of its divisors is an integer number (304113600).

Almost surely, 2^8127664038 is an apocalyptic number.

8127664038 is an abundant number, since it is smaller than the sum of its proper divisors (11335606362).

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

8127664038 is a wasteful number, since it uses less digits than its factorization.

8127664038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8127664038 is about 90153.5580995004. The cubic root of 8127664038 is about 2010.5825756173.

The spelling of 8127664038 in words is "eight billion, one hundred twenty-seven million, six hundred sixty-four thousand, thirty-eight".