6803600064 has 112 divisors (see below), whose sum is σ = 18198498528. Its totient is φ = 2243166208.

The previous prime is 6803600059. The next prime is 6803600099. The reversal of 6803600064 is 4600063086.

It is a junction number, because it is equal to n+sod(n) for n = 6803599998 and 6803600034.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8536114 + ... + 8536910.

It is an arithmetic number, because the mean of its divisors is an integer number (162486594).

Almost surely, 2^6803600064 is an apocalyptic number.

6803600064 is a gapful number since it is divisible by the number (64) 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 6803600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099249264).

6803600064 is an abundant number, since it is smaller than the sum of its proper divisors (11394898464).

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

6803600064 is a wasteful number, since it uses less digits than its factorization.

6803600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6803600064 is about 82483.9382182980. The cubic root of 6803600064 is about 1894.8707512974.

The spelling of 6803600064 in words is "six billion, eight hundred three million, six hundred thousand, sixty-four".