6912671040 has 336 divisors, whose sum is σ = 26181320256. Its totient is φ = 1660108800.

The previous prime is 6912671027. The next prime is 6912671047. The reversal of 6912671040 is 401762196.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6912670986 and 6912671004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6912671047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3578875 + ... + 3580805.

It is an arithmetic number, because the mean of its divisors is an integer number (77920596).

Almost surely, 2^6912671040 is an apocalyptic number.

6912671040 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 6912671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090660128).

6912671040 is an abundant number, since it is smaller than the sum of its proper divisors (19268649216).

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

6912671040 is a wasteful number, since it uses less digits than its factorization.

6912671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6912671040 is about 83142.4743437432. The cubic root of 6912671040 is about 1904.9429044413.

The spelling of 6912671040 in words is "six billion, nine hundred twelve million, six hundred seventy-one thousand, forty".