6150009600 has 486 divisors, whose sum is σ = 25589234580. Its totient is φ = 1405071360.

The previous prime is 6150009599. The next prime is 6150009637. The reversal of 6150009600 is 69000516.

6150009600 is a `hidden beast` number, since 6 + 1 + 50 + 0 + 0 + 9 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2821311 + ... + 2823489.

Almost surely, 2^6150009600 is an apocalyptic number.

6150009600 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 6150009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794617290).

6150009600 is an abundant number, since it is smaller than the sum of its proper divisors (19439224980).

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

6150009600 is a wasteful number, since it uses less digits than its factorization.

6150009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 6150009600 is about 78421.9969141312. The cubic root of 6150009600 is about 1832.1397527555.

The spelling of 6150009600 in words is "six billion, one hundred fifty million, nine thousand, six hundred".