8369904960 has 280 divisors, whose sum is σ = 30089200680. Its totient is φ = 2208301056.

The previous prime is 8369904941. The next prime is 8369905003. The reversal of 8369904960 is 694099638.

It is a happy number.

8369904960 is a `hidden beast` number, since 8 + 3 + 69 + 90 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 475937856 + 7893967104 = 21816^2 + 88848^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8369904897 and 8369904906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2512576 + ... + 2515904.

It is an arithmetic number, because the mean of its divisors is an integer number (107461431).

Almost surely, 2^8369904960 is an apocalyptic number.

8369904960 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 8369904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044600340).

8369904960 is an abundant number, since it is smaller than the sum of its proper divisors (21719295720).

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

8369904960 is a wasteful number, since it uses less digits than its factorization.

8369904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 8369904960 is about 91487.1846763250. The cubic root of 8369904960 is about 2030.3621507623.

The spelling of 8369904960 in words is "eight billion, three hundred sixty-nine million, nine hundred four thousand, nine hundred sixty".