6821157200 has 360 divisors, whose sum is σ = 19990975704. Its totient is φ = 2220134400.

The previous prime is 6821157191. The next prime is 6821157229. The reversal of 6821157200 is 27511286.

It can be written as a sum of positive squares in 12 ways, for example, as 344770624 + 6476386576 = 18568^2 + 80476^2 .

It is a super-2 number, since 2×6821157200² = 93056371094223680000, which contains 22 as substring.

It is a congruent number.

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, 23280254 + ... + 23280546.

Almost surely, 2^6821157200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6821157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995487852).

6821157200 is an abundant number, since it is smaller than the sum of its proper divisors (13169818504).

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

6821157200 is a wasteful number, since it uses less digits than its factorization.

6821157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 6821157200 is about 82590.2972509483. The cubic root of 6821157200 is about 1896.4992973094.

Adding to 6821157200 its reverse (27511286), we get a palindrome (6848668486).

The spelling of 6821157200 in words is "six billion, eight hundred twenty-one million, one hundred fifty-seven thousand, two hundred".