8483952960 has 1120 divisors, whose sum is σ = 38238013440. Its totient is φ = 1740828672.

The previous prime is 8483952959. The next prime is 8483952989. The reversal of 8483952960 is 692593848.

8483952960 is a `hidden beast` number, since 84 + 8 + 39 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 8483952897 and 8483952906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79289227 + ... + 79289333.

Almost surely, 2^8483952960 is an apocalyptic number.

8483952960 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 8483952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119006720).

8483952960 is an abundant number, since it is smaller than the sum of its proper divisors (29754060480).

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

8483952960 is a wasteful number, since it uses less digits than its factorization.

8483952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 8483952960 is about 92108.3761663401. The cubic root of 8483952960 is about 2039.5424579413.

The spelling of 8483952960 in words is "eight billion, four hundred eighty-three million, nine hundred fifty-two thousand, nine hundred sixty".