6487918080 has 640 divisors, whose sum is σ = 26021191680. Its totient is φ = 1344798720.

The previous prime is 6487918079. The next prime is 6487918121. The reversal of 6487918080 is 808197846.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 28331406 + ... + 28331634.

It is an arithmetic number, because the mean of its divisors is an integer number (40658112).

Almost surely, 2^6487918080 is an apocalyptic number.

6487918080 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 6487918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010595840).

6487918080 is an abundant number, since it is smaller than the sum of its proper divisors (19533273600).

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

6487918080 is a wasteful number, since it uses less digits than its factorization.

6487918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 6487918080 is about 80547.6137449149. The cubic root of 6487918080 is about 1865.0985560790.

The spelling of 6487918080 in words is "six billion, four hundred eighty-seven million, nine hundred eighteen thousand, eighty".