8417249680 has 80 divisors (see below), whose sum is σ = 22377853440. Its totient is φ = 2884363776.

The previous prime is 8417249677. The next prime is 8417249689. The reversal of 8417249680 is 869427148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8417249689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626457 + ... + 1631623.

It is an arithmetic number, because the mean of its divisors is an integer number (279723168).

Almost surely, 2^8417249680 is an apocalyptic number.

8417249680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8417249680 is an abundant number, since it is smaller than the sum of its proper divisors (13960603760).

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

8417249680 is a wasteful number, since it uses less digits than its factorization.

8417249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 8417249680 is about 91745.5703562848. The cubic root of 8417249680 is about 2034.1832314378.

The spelling of 8417249680 in words is "eight billion, four hundred seventeen million, two hundred forty-nine thousand, six hundred eighty".