6144206745600 has 4992 divisors, whose sum is σ = 31201812480000. Its totient is φ = 1170505728000.

The previous prime is 6144206745577. The next prime is 6144206745643. The reversal of 6144206745600 is 65476024416.

6144206745600 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 20 + 67 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 198200217585 + ... + 198200217615.

Almost surely, 2^{6144206745600} is an apocalyptic number.

6144206745600 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 6144206745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600906240000).

6144206745600 is an abundant number, since it is smaller than the sum of its proper divisors (25057605734400).

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

6144206745600 is a wasteful number, since it uses less digits than its factorization.

6144206745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6144206745600 in words is "six trillion, one hundred forty-four billion, two hundred six million, seven hundred forty-five thousand, six hundred".