6078434947200 has 3456 divisors, whose sum is σ = 29809117540800. Its totient is φ = 1162144972800.

The previous prime is 6078434947183. The next prime is 6078434947241. The reversal of 6078434947200 is 27494348706.

6078434947200 is a `hidden beast` number, since 6 + 0 + 7 + 84 + 3 + 494 + 72 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10912809322 + ... + 10912809878.

Almost surely, 2^{6078434947200} is an apocalyptic number.

6078434947200 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 6078434947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904558770400).

6078434947200 is an abundant number, since it is smaller than the sum of its proper divisors (23730682593600).

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

6078434947200 is a wasteful number, since it uses less digits than its factorization.

6078434947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 6078434947200 in words is "six trillion, seventy-eight billion, four hundred thirty-four million, nine hundred forty-seven thousand, two hundred".