6849648000 has 384 divisors, whose sum is σ = 26498253600. Its totient is φ = 1685606400.

The previous prime is 6849647947. The next prime is 6849648017. The reversal of 6849648000 is 8469486.

It is a happy number.

6849648000 is a `hidden beast` number, since 6 + 84 + 96 + 480 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1870171 + ... + 1873829.

Almost surely, 2^6849648000 is an apocalyptic number.

6849648000 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 6849648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249126800).

6849648000 is an abundant number, since it is smaller than the sum of its proper divisors (19648605600).

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

6849648000 is a wasteful number, since it uses less digits than its factorization.

6849648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6849648000 is about 82762.6002491464. The cubic root of 6849648000 is about 1899.1360800005.

The spelling of 6849648000 in words is "six billion, eight hundred forty-nine million, six hundred forty-eight thousand".