6781351680 has 432 divisors, whose sum is σ = 25667276544. Its totient is φ = 1645608960.

The previous prime is 6781351667. The next prime is 6781351723. The reversal of 6781351680 is 861531876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6070482 + ... + 6071598.

It is an arithmetic number, because the mean of its divisors is an integer number (59414992).

Almost surely, 2^6781351680 is an apocalyptic number.

6781351680 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 6781351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833638272).

6781351680 is an abundant number, since it is smaller than the sum of its proper divisors (18885924864).

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

6781351680 is a wasteful number, since it uses less digits than its factorization.

6781351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6781351680 is about 82348.9628349987. The cubic root of 6781351680 is about 1892.8030298630.

The spelling of 6781351680 in words is "six billion, seven hundred eighty-one million, three hundred fifty-one thousand, six hundred eighty".