6834098718720 has 1152 divisors, whose sum is σ = 30232396696320. Its totient is φ = 1441871953920.

The previous prime is 6834098718709. The next prime is 6834098718721. The reversal of 6834098718720 is 278178904386.

6834098718720 is a `hidden beast` number, since 6 + 8 + 340 + 98 + 7 + 187 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6834098718721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226422030 + ... + 226452210.

It is an arithmetic number, because the mean of its divisors is an integer number (26243399910).

Almost surely, 2^{6834098718720} is an apocalyptic number.

6834098718720 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 6834098718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116198348160).

6834098718720 is an abundant number, since it is smaller than the sum of its proper divisors (23398297977600).

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

6834098718720 is a wasteful number, since it uses less digits than its factorization.

6834098718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30243 (or 30211 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 6834098718720 in words is "six trillion, eight hundred thirty-four billion, ninety-eight million, seven hundred eighteen thousand, seven hundred twenty".