6724345708080 has 3840 divisors, whose sum is σ = 33124791877632. Its totient is φ = 1222760448000.

The previous prime is 6724345708037. The next prime is 6724345708081. The reversal of 6724345708080 is 808075434276.

6724345708080 is a `hidden beast` number, since 6 + 7 + 2 + 434 + 57 + 0 + 80 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6724345708081) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 42830227362 + ... + 42830227518.

Almost surely, 2^{6724345708080} is an apocalyptic number.

6724345708080 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 6724345708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562395938816).

6724345708080 is an abundant number, since it is smaller than the sum of its proper divisors (26400446169552).

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

6724345708080 is a wasteful number, since it uses less digits than its factorization.

6724345708080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 6724345708080 in words is "six trillion, seven hundred twenty-four billion, three hundred forty-five million, seven hundred eight thousand, eighty".