6250240080 has 720 divisors, whose sum is σ = 26049114000. Its totient is φ = 1336688640.

The previous prime is 6250240063. The next prime is 6250240091. The reversal of 6250240080 is 800420526.

6250240080 is a `hidden beast` number, since 6 + 250 + 2 + 400 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1756951056 + 4493289024 = 41916^2 + 67032^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 41947846 + ... + 41947994.

It is an arithmetic number, because the mean of its divisors is an integer number (36179325).

Almost surely, 2^6250240080 is an apocalyptic number.

6250240080 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 6250240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024557000).

6250240080 is an abundant number, since it is smaller than the sum of its proper divisors (19798873920).

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

6250240080 is a wasteful number, since it uses less digits than its factorization.

6250240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6250240080 is about 79058.4598888696. The cubic root of 6250240080 is about 1842.0393346791.

The spelling of 6250240080 in words is "six billion, two hundred fifty million, two hundred forty thousand, eighty".