6830998272000 has 2592 divisors, whose sum is σ = 30100373044560. Its totient is φ = 1542559334400.

The previous prime is 6830998271989. The next prime is 6830998272001. The reversal of 6830998272000 is 2728990386.

It is a happy number.

6830998272000 is a `hidden beast` number, since 68 + 309 + 9 + 8 + 272 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830998272001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 82301183959 + ... + 82301184041.

Almost surely, 2^{6830998272000} is an apocalyptic number.

6830998272000 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 6830998272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050186522280).

6830998272000 is an abundant number, since it is smaller than the sum of its proper divisors (23269374772560).

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

6830998272000 is an frugal number, since it uses more digits than its factorization.

6830998272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 6830998272000 in words is "six trillion, eight hundred thirty billion, nine hundred ninety-eight million, two hundred seventy-two thousand".