6547680000 has 270 divisors, whose sum is σ = 23595856284. Its totient is φ = 1745664000.

The previous prime is 6547679987. The next prime is 6547680011. The reversal of 6547680000 is 867456.

It is a happy number.

It is a super-2 number, since 2×6547680000² = 85744226764800000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1437727 + ... + 1442273.

Almost surely, 2^6547680000 is an apocalyptic number.

6547680000 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 6547680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797928142).

6547680000 is an abundant number, since it is smaller than the sum of its proper divisors (17048176284).

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

6547680000 is an equidigital number, since it uses as much as digits as its factorization.

6547680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6547680000 is about 80917.7360039194. The cubic root of 6547680000 is about 1870.8077001176.

The spelling of 6547680000 in words is "six billion, five hundred forty-seven million, six hundred eighty thousand".