8499415680 has 384 divisors, whose sum is σ = 34026220800. Its totient is φ = 1914716160.

The previous prime is 8499415667. The next prime is 8499415703. The reversal of 8499415680 is 865149948.

8499415680 is a `hidden beast` number, since 84 + 99 + 415 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2861236 + ... + 2864204.

It is an arithmetic number, because the mean of its divisors is an integer number (88609950).

Almost surely, 2^8499415680 is an apocalyptic number.

8499415680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8499415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013110400).

8499415680 is an abundant number, since it is smaller than the sum of its proper divisors (25526805120).

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

8499415680 is a wasteful number, since it uses less digits than its factorization.

8499415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8499415680 is about 92192.2755983385. The cubic root of 8499415680 is about 2040.7807853241.

The spelling of 8499415680 in words is "eight billion, four hundred ninety-nine million, four hundred fifteen thousand, six hundred eighty".