6547608540 has 288 divisors, whose sum is σ = 22750560000. Its totient is φ = 1550413440.

The previous prime is 6547608523. The next prime is 6547608553. The reversal of 6547608540 is 458067456.

6547608540 is a `hidden beast` number, since 6 + 5 + 47 + 60 + 8 + 540 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13121211 + ... + 13121709.

It is an arithmetic number, because the mean of its divisors is an integer number (78995000).

Almost surely, 2^6547608540 is an apocalyptic number.

6547608540 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 6547608540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375280000).

6547608540 is an abundant number, since it is smaller than the sum of its proper divisors (16202951460).

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

6547608540 is a wasteful number, since it uses less digits than its factorization.

6547608540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6547608540 is about 80917.2944431535. The cubic root of 6547608540 is about 1870.8008942259.

The spelling of 6547608540 in words is "six billion, five hundred forty-seven million, six hundred eight thousand, five hundred forty".