6821121600 has 504 divisors, whose sum is σ = 25868924640. Its totient is φ = 1699799040.

The previous prime is 6821121583. The next prime is 6821121623. The reversal of 6821121600 is 61211286.

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, 29275084 + ... + 29275316.

Almost surely, 2^6821121600 is an apocalyptic number.

6821121600 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 6821121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934462320).

6821121600 is an abundant number, since it is smaller than the sum of its proper divisors (19047803040).

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

6821121600 is a wasteful number, since it uses less digits than its factorization.

6821121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6821121600 is about 82590.0817289824. The cubic root of 6821121600 is about 1896.4959979918.

Adding to 6821121600 its reverse (61211286), we get a palindrome (6882332886).

The spelling of 6821121600 in words is "six billion, eight hundred twenty-one million, one hundred twenty-one thousand, six hundred".