6803476416 has 280 divisors, whose sum is σ = 22139544240. Its totient is φ = 2048716800.

The previous prime is 6803476391. The next prime is 6803476423. The reversal of 6803476416 is 6146743086.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13058236 + ... + 13058756.

Almost surely, 2^6803476416 is an apocalyptic number.

6803476416 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 6803476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069772120).

6803476416 is an abundant number, since it is smaller than the sum of its proper divisors (15336067824).

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

6803476416 is a wasteful number, since it uses less digits than its factorization.

6803476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6803476416 is about 82483.1886871501. The cubic root of 6803476416 is about 1894.8592721591.

The spelling of 6803476416 in words is "six billion, eight hundred three million, four hundred seventy-six thousand, four hundred sixteen".