8021361600 has 1008 divisors, whose sum is σ = 35847991296. Its totient is φ = 1658880000.

The previous prime is 8021361581. The next prime is 8021361629. The reversal of 8021361600 is 61631208.

8021361600 is a `hidden beast` number, since 8 + 0 + 21 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53121525 + ... + 53121675.

Almost surely, 2^8021361600 is an apocalyptic number.

8021361600 is a gapful number since it is divisible by the number (80) 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 8021361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923995648).

8021361600 is an abundant number, since it is smaller than the sum of its proper divisors (27826629696).

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

8021361600 is a wasteful number, since it uses less digits than its factorization.

8021361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8021361600 is about 89562.0544650467. The cubic root of 8021361600 is about 2001.7785512422.

Adding to 8021361600 its reverse (61631208), we get a palindrome (8082992808).

The spelling of 8021361600 in words is "eight billion, twenty-one million, three hundred sixty-one thousand, six hundred".