6257686890240 has 1152 divisors, whose sum is σ = 23362272460800. Its totient is φ = 1584084418560.

The previous prime is 6257686890223. The next prime is 6257686890271. The reversal of 6257686890240 is 420986867526.

6257686890240 is a `hidden beast` number, since 6 + 257 + 68 + 6 + 89 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26857025164 + ... + 26857025396.

It is an arithmetic number, because the mean of its divisors is an integer number (20279750400).

Almost surely, 2^{6257686890240} is an apocalyptic number.

6257686890240 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 6257686890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681136230400).

6257686890240 is an abundant number, since it is smaller than the sum of its proper divisors (17104585570560).

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

6257686890240 is a wasteful number, since it uses less digits than its factorization.

6257686890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6257686890240 in words is "six trillion, two hundred fifty-seven billion, six hundred eighty-six million, eight hundred ninety thousand, two hundred forty".