6709128185040 has 320 divisors, whose sum is σ = 23515983452160. Its totient is φ = 1573349621760.

The previous prime is 6709128185029. The next prime is 6709128185047. The reversal of 6709128185040 is 405818219076.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6709128185047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2753352 + ... + 4582488.

It is an arithmetic number, because the mean of its divisors is an integer number (73487448288).

Almost surely, 2^{6709128185040} is an apocalyptic number.

6709128185040 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 6709128185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757991726080).

6709128185040 is an abundant number, since it is smaller than the sum of its proper divisors (16806855267120).

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

6709128185040 is a wasteful number, since it uses less digits than its factorization.

6709128185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829230 (or 1829224 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 6709128185040 in words is "six trillion, seven hundred nine billion, one hundred twenty-eight million, one hundred eighty-five thousand, forty".