6142413600 has 288 divisors, whose sum is σ = 22342320000. Its totient is φ = 1628605440.

The previous prime is 6142413593. The next prime is 6142413601. The reversal of 6142413600 is 63142416.

6142413600 is a `hidden beast` number, since 6 + 1 + 42 + 4 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (6142413601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4297686 + ... + 4299114.

It is an arithmetic number, because the mean of its divisors is an integer number (77577500).

Almost surely, 2^6142413600 is an apocalyptic number.

6142413600 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 6142413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160000).

6142413600 is an abundant number, since it is smaller than the sum of its proper divisors (16199906400).

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

6142413600 is a wasteful number, since it uses less digits than its factorization.

6142413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6142413600 is about 78373.5516612588. The cubic root of 6142413600 is about 1831.3851378255.

The spelling of 6142413600 in words is "six billion, one hundred forty-two million, four hundred thirteen thousand, six hundred".