6800994900 has 720 divisors, whose sum is σ = 27223257600. Its totient is φ = 1434205440.

The previous prime is 6800994899. The next prime is 6800994917. The reversal of 6800994900 is 94990086.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63560647 + ... + 63560753.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 2^6800994900 is an apocalyptic number.

6800994900 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 6800994900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611628800).

6800994900 is an abundant number, since it is smaller than the sum of its proper divisors (20422262700).

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

6800994900 is a wasteful number, since it uses less digits than its factorization.

6800994900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 6800994900 is about 82468.1447590523. The cubic root of 6800994900 is about 1894.6288656670.

The spelling of 6800994900 in words is "six billion, eight hundred million, nine hundred ninety-four thousand, nine hundred".