6946886496 has 192 divisors, whose sum is σ = 20486898432. Its totient is φ = 2042880000.

The previous prime is 6946886483. The next prime is 6946886497.

6946886496 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6946886497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165891 + ... + 12166461.

It is an arithmetic number, because the mean of its divisors is an integer number (106702596).

Almost surely, 2^6946886496 is an apocalyptic number.

6946886496 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 6946886496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10243449216).

6946886496 is an abundant number, since it is smaller than the sum of its proper divisors (13540011936).

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

6946886496 is a wasteful number, since it uses less digits than its factorization.

6946886496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 66.

The square root of 6946886496 is about 83347.9843547521. The cubic root of 6946886496 is about 1908.0806808088.

The spelling of 6946886496 in words is "six billion, nine hundred forty-six million, eight hundred eighty-six thousand, four hundred ninety-six".