8399220480 has 720 divisors, whose sum is σ = 35044821504. Its totient is φ = 1881169920.

The previous prime is 8399220469. The next prime is 8399220547. The reversal of 8399220480 is 840229938.

8399220480 is a `hidden beast` number, since 83 + 9 + 92 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51528879 + ... + 51529041.

Almost surely, 2^8399220480 is an apocalyptic number.

8399220480 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 8399220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522410752).

8399220480 is an abundant number, since it is smaller than the sum of its proper divisors (26645601024).

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

8399220480 is a wasteful number, since it uses less digits than its factorization.

8399220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8399220480 is about 91647.2611702063. The cubic root of 8399220480 is about 2032.7298306299.

The spelling of 8399220480 in words is "eight billion, three hundred ninety-nine million, two hundred twenty thousand, four hundred eighty".