8484865920 has 384 divisors, whose sum is σ = 31474254240. Its totient is φ = 2098593792.

The previous prime is 8484865913. The next prime is 8484865927. The reversal of 8484865920 is 295684848.

8484865920 is a `hidden beast` number, since 8 + 4 + 8 + 48 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8484865913) and next prime (8484865927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8484865927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7147567 + ... + 7148753.

Almost surely, 2^8484865920 is an apocalyptic number.

8484865920 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 8484865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737127120).

8484865920 is an abundant number, since it is smaller than the sum of its proper divisors (22989388320).

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

8484865920 is a wasteful number, since it uses less digits than its factorization.

8484865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 8484865920 is about 92113.3319340908. The cubic root of 8484865920 is about 2039.6156138513.

The spelling of 8484865920 in words is "eight billion, four hundred eighty-four million, eight hundred sixty-five thousand, nine hundred twenty".