6834930480 has 240 divisors, whose sum is σ = 26550800640. Its totient is φ = 1543352832.

The previous prime is 6834930467. The next prime is 6834930481. The reversal of 6834930480 is 840394386.

6834930480 is a `hidden beast` number, since 6 + 83 + 4 + 93 + 0 + 480 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (6834930481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410151 + ... + 426489.

It is an arithmetic number, because the mean of its divisors is an integer number (110628336).

Almost surely, 2^6834930480 is an apocalyptic number.

6834930480 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 6834930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275400320).

6834930480 is an abundant number, since it is smaller than the sum of its proper divisors (19715870160).

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

6834930480 is a wasteful number, since it uses less digits than its factorization.

6834930480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6834930480 is about 82673.6383619349. The cubic root of 6834930480 is about 1897.7749095253.

The spelling of 6834930480 in words is "six billion, eight hundred thirty-four million, nine hundred thirty thousand, four hundred eighty".