6798556800 has 576 divisors, whose sum is σ = 28774200000. Its totient is φ = 1552711680.

The previous prime is 6798556789. The next prime is 6798556813. The reversal of 6798556800 is 86558976.

6798556800 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5442576 + ... + 5443824.

Almost surely, 2^6798556800 is an apocalyptic number.

6798556800 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 6798556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387100000).

6798556800 is an abundant number, since it is smaller than the sum of its proper divisors (21975643200).

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

6798556800 is a wasteful number, since it uses less digits than its factorization.

6798556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 6798556800 is about 82453.3613626516. The cubic root of 6798556800 is about 1894.4024357202.

The spelling of 6798556800 in words is "six billion, seven hundred ninety-eight million, five hundred fifty-six thousand, eight hundred".