6555893760 has 680 divisors, whose sum is σ = 26644112880. Its totient is φ = 1528823808.

The previous prime is 6555893749. The next prime is 6555893807. The reversal of 6555893760 is 673985556.

6555893760 is a `hidden beast` number, since 6 + 55 + 589 + 3 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6555893697 and 6555893706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345047031 + ... + 345047049.

Almost surely, 2^6555893760 is an apocalyptic number.

6555893760 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 6555893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322056440).

6555893760 is an abundant number, since it is smaller than the sum of its proper divisors (20088219120).

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

6555893760 is an equidigital number, since it uses as much as digits as its factorization.

6555893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 6555893760 is about 80968.4738648321. The cubic root of 6555893760 is about 1871.5896536475.

The spelling of 6555893760 in words is "six billion, five hundred fifty-five million, eight hundred ninety-three thousand, seven hundred sixty".