6829254960 has 240 divisors, whose sum is σ = 24536500992. Its totient is φ = 1558016000.

The previous prime is 6829254941. The next prime is 6829254973. The reversal of 6829254960 is 694529286.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 758485 + ... + 767435.

Almost surely, 2^6829254960 is an apocalyptic number.

6829254960 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 6829254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268250496).

6829254960 is an abundant number, since it is smaller than the sum of its proper divisors (17707246032).

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

6829254960 is a wasteful number, since it uses less digits than its factorization.

6829254960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 6829254960 is about 82639.3063862470. The cubic root of 6829254960 is about 1897.2494790605.

The spelling of 6829254960 in words is "six billion, eight hundred twenty-nine million, two hundred fifty-four thousand, nine hundred sixty".