6906667416 has 192 divisors, whose sum is σ = 19505418240. Its totient is φ = 2035756800.

The previous prime is 6906667403. The next prime is 6906667441. The reversal of 6906667416 is 6147666096.

It is a super-2 number, since 2×6906667416² = 95404109590472234112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22497135 + ... + 22497441.

It is an arithmetic number, because the mean of its divisors is an integer number (101590720).

Almost surely, 2^6906667416 is an apocalyptic number.

6906667416 is a gapful number since it is divisible by the number (66) 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 6906667416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752709120).

6906667416 is an abundant number, since it is smaller than the sum of its proper divisors (12598750824).

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

6906667416 is a wasteful number, since it uses less digits than its factorization.

6906667416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 6906667416 is about 83106.3620669320. The cubic root of 6906667416 is about 1904.3912665703.

The spelling of 6906667416 in words is "six billion, nine hundred six million, six hundred sixty-seven thousand, four hundred sixteen".