8519216640 has 320 divisors, whose sum is σ = 30678607872. Its totient is φ = 1998028800.

The previous prime is 8519216621. The next prime is 8519216653. The reversal of 8519216640 is 466129158.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 8519216592 and 8519216601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617254 + ... + 2620506.

Almost surely, 2^8519216640 is an apocalyptic number.

8519216640 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 8519216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339303936).

8519216640 is an abundant number, since it is smaller than the sum of its proper divisors (22159391232).

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

8519216640 is a wasteful number, since it uses less digits than its factorization.

8519216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8519216640 is about 92299.6025993612. The cubic root of 8519216640 is about 2042.3643482563.

The spelling of 8519216640 in words is "eight billion, five hundred nineteen million, two hundred sixteen thousand, six hundred forty".