6540156000 has 768 divisors, whose sum is σ = 28002723840. Its totient is φ = 1451520000.

The previous prime is 6540155953. The next prime is 6540156013. The reversal of 6540156000 is 6510456.

It is a happy number.

6540156000 is a `hidden beast` number, since 6 + 5 + 40 + 15 + 600 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30995895 + ... + 30996105.

It is an arithmetic number, because the mean of its divisors is an integer number (36461880).

Almost surely, 2^6540156000 is an apocalyptic number.

6540156000 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 6540156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001361920).

6540156000 is an abundant number, since it is smaller than the sum of its proper divisors (21462567840).

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

6540156000 is a wasteful number, since it uses less digits than its factorization.

6540156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6540156000 is about 80871.2309786366. The cubic root of 6540156000 is about 1870.0908379525.

Adding to 6540156000 its reverse (6510456), we get a palindrome (6546666456).

The spelling of 6540156000 in words is "six billion, five hundred forty million, one hundred fifty-six thousand".