6810998400 has 576 divisors, whose sum is σ = 26587360800. Its totient is φ = 1716940800.

The previous prime is 6810998333. The next prime is 6810998417. The reversal of 6810998400 is 48990186.

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 (45).

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 71 ways as a sum of consecutive naturals, for example, 14774170 + ... + 14774630.

Almost surely, 2^6810998400 is an apocalyptic number.

6810998400 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 6810998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293680400).

6810998400 is an abundant number, since it is smaller than the sum of its proper divisors (19776362400).

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

6810998400 is a wasteful number, since it uses less digits than its factorization.

6810998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6810998400 is about 82528.7731642728. The cubic root of 6810998400 is about 1895.5573393772.

The spelling of 6810998400 in words is "six billion, eight hundred ten million, nine hundred ninety-eight thousand, four hundred".