6834580630272 has 288 divisors, whose sum is σ = 21015402024960. Its totient is φ = 2188601303040.

The previous prime is 6834580630259. The next prime is 6834580630301. The reversal of 6834580630272 is 2720360854386.

6834580630272 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 580 + 6 + 30 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6834580630272³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29238853 + ... + 29471675.

It is an arithmetic number, because the mean of its divisors is an integer number (72970145920).

Almost surely, 2^{6834580630272} is an apocalyptic number.

6834580630272 is a gapful number since it is divisible by the number (62) 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 6834580630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507701012480).

6834580630272 is an abundant number, since it is smaller than the sum of its proper divisors (14180821394688).

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

6834580630272 is a wasteful number, since it uses less digits than its factorization.

6834580630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233016 (or 232996 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6834580630272 in words is "six trillion, eight hundred thirty-four billion, five hundred eighty million, six hundred thirty thousand, two hundred seventy-two".