6105475200 has 768 divisors, whose sum is σ = 24587712000. Its totient is φ = 1312358400.

The previous prime is 6105475133. The next prime is 6105475253. The reversal of 6105475200 is 25745016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34108711 + ... + 34108889.

It is an arithmetic number, because the mean of its divisors is an integer number (32015250).

Almost surely, 2^6105475200 is an apocalyptic number.

6105475200 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 6105475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293856000).

6105475200 is an abundant number, since it is smaller than the sum of its proper divisors (18482236800).

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

6105475200 is a wasteful number, since it uses less digits than its factorization.

6105475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 6105475200 is about 78137.5402735459. The cubic root of 6105475200 is about 1827.7066437238.

The spelling of 6105475200 in words is "six billion, one hundred five million, four hundred seventy-five thousand, two hundred".