6828312960 has 640 divisors, whose sum is σ = 28815114240. Its totient is φ = 1507921920.

The previous prime is 6828312949. The next prime is 6828312961. The reversal of 6828312960 is 692138286.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828312961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11248977 + ... + 11249583.

It is an arithmetic number, because the mean of its divisors is an integer number (45023616).

Almost surely, 2^6828312960 is an apocalyptic number.

6828312960 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 6828312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407557120).

6828312960 is an abundant number, since it is smaller than the sum of its proper divisors (21986801280).

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

6828312960 is a wasteful number, since it uses less digits than its factorization.

6828312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6828312960 is about 82633.6067226888. The cubic root of 6828312960 is about 1897.1622420584.

The spelling of 6828312960 in words is "six billion, eight hundred twenty-eight million, three hundred twelve thousand, nine hundred sixty".