6009350400 has 729 divisors, whose sum is σ = 24087365211. Its totient is φ = 1428848640.

The previous prime is 6009350387. The next prime is 6009350429. The reversal of 6009350400 is 40539006.

It is a happy number.

The square root of 6009350400 is 77520.

It is a perfect power (a square), and thus also a powerful number.

6009350400 is a `hidden beast` number, since 600 + 9 + 3 + 50 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140564736 + 5868785664 = 11856^2 + 76608^2 .

It is a super-2 number, since 2×6009350400² = 72224584459960320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 316281591 + ... + 316281609.

Almost surely, 2^6009350400 is an apocalyptic number.

6009350400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6009350400 is the 77520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009350400

6009350400 is an abundant number, since it is smaller than the sum of its proper divisors (18078014811).

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

6009350400 is a wasteful number, since it uses less digits than its factorization.

6009350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 6009350400 is about 1818.0640364915.

Adding to 6009350400 its reverse (40539006), we get a palindrome (6049889406).

It can be divided in two parts, 6009 and 350400, that added together give a square (356409 = 597²).

The spelling of 6009350400 in words is "six billion, nine million, three hundred fifty thousand, four hundred".