6142607200 has 72 divisors (see below), whose sum is σ = 15082659648. Its totient is φ = 2442785280.

The previous prime is 6142607183. The next prime is 6142607201. The reversal of 6142607200 is 27062416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142607201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116209 + ... + 160591.

It is an arithmetic number, because the mean of its divisors is an integer number (209481384).

Almost surely, 2^6142607200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541329824).

6142607200 is an abundant number, since it is smaller than the sum of its proper divisors (8940052448).

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

6142607200 is a wasteful number, since it uses less digits than its factorization.

6142607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44576 (or 44563 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6142607200 is about 78374.7867620704. The cubic root of 6142607200 is about 1831.4043784943.

Adding to 6142607200 its reverse (27062416), we get a palindrome (6169669616).

The spelling of 6142607200 in words is "six billion, one hundred forty-two million, six hundred seven thousand, two hundred".