6849920000 has 440 divisors, whose sum is σ = 21486622080. Its totient is φ = 2119680000.

The previous prime is 6849919997. The next prime is 6849920009. The reversal of 6849920000 is 299486.

It is a tau number, because it is divible by the number of its divisors (440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849920009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49279931 + ... + 49280069.

It is an arithmetic number, because the mean of its divisors is an integer number (48833232).

Almost surely, 2^6849920000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743311040).

6849920000 is an abundant number, since it is smaller than the sum of its proper divisors (14636702080).

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

6849920000 is a wasteful number, since it uses less digits than its factorization.

6849920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 6849920000 is about 82764.2434871485. The cubic root of 6849920000 is about 1899.1612179432.

The spelling of 6849920000 in words is "six billion, eight hundred forty-nine million, nine hundred twenty thousand".