6542494200 has 1152 divisors, whose sum is σ = 28498176000. Its totient is φ = 1368576000.

The previous prime is 6542494177. The next prime is 6542494201. The reversal of 6542494200 is 24942456.

6542494200 is a `hidden beast` number, since 6 + 542 + 4 + 94 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542494201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 211048185 + ... + 211048215.

It is an arithmetic number, because the mean of its divisors is an integer number (24738000).

Almost surely, 2^6542494200 is an apocalyptic number.

6542494200 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 6542494200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088000).

6542494200 is an abundant number, since it is smaller than the sum of its proper divisors (21955681800).

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

6542494200 is a wasteful number, since it uses less digits than its factorization.

6542494200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6542494200 is about 80885.6860019126. The cubic root of 6542494200 is about 1870.3136728719.

The spelling of 6542494200 in words is "six billion, five hundred forty-two million, four hundred ninety-four thousand, two hundred".