6487808570640 has 320 divisors, whose sum is σ = 23075189760000. Its totient is φ = 1673734233600.

The previous prime is 6487808570591. The next prime is 6487808570689. The reversal of 6487808570640 is 460758087846.

6487808570640 is a `hidden beast` number, since 6 + 487 + 8 + 0 + 85 + 70 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6487808570591) and next prime (6487808570689).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234279195 + ... + 234306885.

It is an arithmetic number, because the mean of its divisors is an integer number (72109968000).

Almost surely, 2^{6487808570640} is an apocalyptic number.

6487808570640 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 6487808570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537594880000).

6487808570640 is an abundant number, since it is smaller than the sum of its proper divisors (16587381189360).

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

6487808570640 is a wasteful number, since it uses less digits than its factorization.

6487808570640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31243 (or 31231 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 6487808570640 in words is "six trillion, four hundred eighty-seven billion, eight hundred eight million, five hundred seventy thousand, six hundred forty".