6223509600 has 864 divisors, whose sum is σ = 27315501696. Its totient is φ = 1212825600.

The previous prime is 6223509599. The next prime is 6223509613. The reversal of 6223509600 is 69053226.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 21991059 + ... + 21991341.

It is an arithmetic number, because the mean of its divisors is an integer number (31615164).

Almost surely, 2^6223509600 is an apocalyptic number.

6223509600 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 6223509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657750848).

6223509600 is an abundant number, since it is smaller than the sum of its proper divisors (21091992096).

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

6223509600 is a wasteful number, since it uses less digits than its factorization.

6223509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 6223509600 is about 78889.2235986640. The cubic root of 6223509600 is about 1839.4096247094.

The spelling of 6223509600 in words is "six billion, two hundred twenty-three million, five hundred nine thousand, six hundred".