6104007201600 has 2016 divisors, whose sum is σ = 28586886322176. Its totient is φ = 1244110233600.

The previous prime is 6104007201581. The next prime is 6104007201647. The reversal of 6104007201600 is 61027004016.

6104007201600 is a `hidden beast` number, since 6 + 10 + 40 + 0 + 7 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1586690877 + ... + 1586694723.

It is an arithmetic number, because the mean of its divisors is an integer number (14180003136).

Almost surely, 2^{6104007201600} is an apocalyptic number.

6104007201600 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 6104007201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293443161088).

6104007201600 is an abundant number, since it is smaller than the sum of its proper divisors (22482879120576).

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

6104007201600 is a wasteful number, since it uses less digits than its factorization.

6104007201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 6104007201600 in words is "six trillion, one hundred four billion, seven million, two hundred one thousand, six hundred".