6256514880 has 672 divisors, whose sum is σ = 27216933120. Its totient is φ = 1281392640.

The previous prime is 6256514861. The next prime is 6256514909. The reversal of 6256514880 is 884156526.

6256514880 is a `hidden beast` number, since 6 + 2 + 56 + 514 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6256514880² = 78287956887322828800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19736482 + ... + 19736798.

Almost surely, 2^6256514880 is an apocalyptic number.

6256514880 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 6256514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608466560).

6256514880 is an abundant number, since it is smaller than the sum of its proper divisors (20960418240).

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

6256514880 is a wasteful number, since it uses less digits than its factorization.

6256514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6256514880 is about 79098.1344912761. The cubic root of 6256514880 is about 1842.6555543483.

The spelling of 6256514880 in words is "six billion, two hundred fifty-six million, five hundred fourteen thousand, eight hundred eighty".