6829548000 has 384 divisors, whose sum is σ = 25209999360. Its totient is φ = 1601280000.

The previous prime is 6829547951. The next prime is 6829548001. The reversal of 6829548000 is 8459286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829548001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4091166 + ... + 4092834.

It is an arithmetic number, because the mean of its divisors is an integer number (65651040).

Almost surely, 2^6829548000 is an apocalyptic number.

6829548000 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 6829548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604999680).

6829548000 is an abundant number, since it is smaller than the sum of its proper divisors (18380451360).

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

6829548000 is a wasteful number, since it uses less digits than its factorization.

6829548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6829548000 is about 82641.0793733964. The cubic root of 6829548000 is about 1897.2766153557.

The spelling of 6829548000 in words is "six billion, eight hundred twenty-nine million, five hundred forty-eight thousand".