6678252360 has 448 divisors, whose sum is σ = 24679065600. Its totient is φ = 1615790592.

The previous prime is 6678252353. The next prime is 6678252401. The reversal of 6678252360 is 632528766.

It is a happy number.

6678252360 is a `hidden beast` number, since 6 + 67 + 8 + 2 + 523 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29947209 + ... + 29947431.

It is an arithmetic number, because the mean of its divisors is an integer number (55087200).

Almost surely, 2^6678252360 is an apocalyptic number.

6678252360 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 6678252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339532800).

6678252360 is an abundant number, since it is smaller than the sum of its proper divisors (18000813240).

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

6678252360 is a wasteful number, since it uses less digits than its factorization.

6678252360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6678252360 is about 81720.5748878457. The cubic root of 6678252360 is about 1883.1616822875.

The spelling of 6678252360 in words is "six billion, six hundred seventy-eight million, two hundred fifty-two thousand, three hundred sixty".