6255247680 has 672 divisors, whose sum is σ = 24923179008. Its totient is φ = 1480550400.

The previous prime is 6255247679. The next prime is 6255247709. The reversal of 6255247680 is 867425526.

6255247680 is a `hidden beast` number, since 62 + 5 + 524 + 7 + 68 + 0 = 666.

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, 60730509 + ... + 60730611.

It is an arithmetic number, because the mean of its divisors is an integer number (37088064).

Almost surely, 2^6255247680 is an apocalyptic number.

6255247680 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 6255247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461589504).

6255247680 is an abundant number, since it is smaller than the sum of its proper divisors (18667931328).

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

6255247680 is a wasteful number, since it uses less digits than its factorization.

6255247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

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

The square root of 6255247680 is about 79090.1237829351. The cubic root of 6255247680 is about 1842.5311415921.

The spelling of 6255247680 in words is "six billion, two hundred fifty-five million, two hundred forty-seven thousand, six hundred eighty".