6540987600 has 480 divisors, whose sum is σ = 27475066880. Its totient is φ = 1446336000.

The previous prime is 6540987581. The next prime is 6540987601. The reversal of 6540987600 is 67890456.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540987601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2342205 + ... + 2344995.

Almost surely, 2^6540987600 is an apocalyptic number.

6540987600 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 6540987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737533440).

6540987600 is an abundant number, since it is smaller than the sum of its proper divisors (20934079280).

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

6540987600 is a wasteful number, since it uses less digits than its factorization.

6540987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6540987600 is about 80876.3723222055. The cubic root of 6540987600 is about 1870.1700971032.

The spelling of 6540987600 in words is "six billion, five hundred forty million, nine hundred eighty-seven thousand, six hundred".