6734810880 has 864 divisors, whose sum is σ = 28772815680. Its totient is φ = 1486356480.

The previous prime is 6734810879. The next prime is 6734810881. The reversal of 6734810880 is 880184376.

It is an interprime number because it is at equal distance from previous prime (6734810879) and next prime (6734810881).

It is a tau number, because it is divible by the number of its divisors (864).

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 (6734810881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69430992 + ... + 69431088.

It is an arithmetic number, because the mean of its divisors is an integer number (33301870).

Almost surely, 2^6734810880 is an apocalyptic number.

6734810880 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 6734810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386407840).

6734810880 is an abundant number, since it is smaller than the sum of its proper divisors (22038004800).

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

6734810880 is a wasteful number, since it uses less digits than its factorization.

6734810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6734810880 is about 82065.8935246549. The cubic root of 6734810880 is about 1888.4629478542.

The spelling of 6734810880 in words is "six billion, seven hundred thirty-four million, eight hundred ten thousand, eight hundred eighty".