6848509500 has 960 divisors, whose sum is σ = 28540512000. Its totient is φ = 1422489600.

The previous prime is 6848509433. The next prime is 6848509531. The reversal of 6848509500 is 59058486.

6848509500 is a `hidden beast` number, since 68 + 4 + 85 + 0 + 9 + 500 = 666.

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 319 ways as a sum of consecutive naturals, for example, 236155486 + ... + 236155514.

It is an arithmetic number, because the mean of its divisors is an integer number (29729700).

Almost surely, 2^6848509500 is an apocalyptic number.

6848509500 is a gapful number since it is divisible by the number (60) 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 6848509500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256000).

6848509500 is an abundant number, since it is smaller than the sum of its proper divisors (21692002500).

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

6848509500 is a wasteful number, since it uses less digits than its factorization.

6848509500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 6848509500 is about 82755.7218565581. The cubic root of 6848509500 is about 1899.0308538521.

The spelling of 6848509500 in words is "six billion, eight hundred forty-eight million, five hundred nine thousand, five hundred".