8190207648 has 192 divisors, whose sum is σ = 27518238720. Its totient is φ = 2321415936.

The previous prime is 8190207643. The next prime is 8190207667. The reversal of 8190207648 is 8467020918.

It is not an unprimeable number, because it can be changed into a prime (8190207643) 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, 762765 + ... + 773427.

It is an arithmetic number, because the mean of its divisors is an integer number (143324160).

Almost surely, 2^8190207648 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 8190207648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759119360).

8190207648 is an abundant number, since it is smaller than the sum of its proper divisors (19328031072).

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

8190207648 is a wasteful number, since it uses less digits than its factorization.

8190207648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10816 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8190207648 is about 90499.7660107472. The cubic root of 8190207648 is about 2015.7266494459.

The spelling of 8190207648 in words is "eight billion, one hundred ninety million, two hundred seven thousand, six hundred forty-eight".