8449127990064 has 60 divisors (see below), whose sum is σ = 23945137725600. Its totient is φ = 2780725663872.

The previous prime is 8449127990047. The next prime is 8449127990099. The reversal of 8449127990064 is 4600997219448.

8449127990064 is a `hidden beast` number, since 8 + 449 + 127 + 9 + 9 + 0 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8449127989983 and 8449127990010.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 371346219 + ... + 371368970.

It is an arithmetic number, because the mean of its divisors is an integer number (399085628760).

Almost surely, 2^{8449127990064} is an apocalyptic number.

It is an amenable number.

8449127990064 is an abundant number, since it is smaller than the sum of its proper divisors (15496009735536).

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

8449127990064 is a wasteful number, since it uses less digits than its factorization.

8449127990064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742715282 (or 742715273 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 8449127990064 in words is "eight trillion, four hundred forty-nine billion, one hundred twenty-seven million, nine hundred ninety thousand, sixty-four".