6906709918080 has 1536 divisors, whose sum is σ = 30179539353600. Its totient is φ = 1474210160640.

The previous prime is 6906709918079. The next prime is 6906709918093. The reversal of 6906709918080 is 808199076096.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6906709917999 and 6906709918017.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1468573009 + ... + 1468577711.

It is an arithmetic number, because the mean of its divisors is an integer number (19648137600).

Almost surely, 2^{6906709918080} is an apocalyptic number.

6906709918080 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 6906709918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089769676800).

6906709918080 is an abundant number, since it is smaller than the sum of its proper divisors (23272829435520).

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

6906709918080 is a wasteful number, since it uses less digits than its factorization.

6906709918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 6906709918080 in words is "six trillion, nine hundred six billion, seven hundred nine million, nine hundred eighteen thousand, eighty".