6487750080 has 784 divisors, whose sum is σ = 27584521920. Its totient is φ = 1421328384.

The previous prime is 6487750067. The next prime is 6487750081. The reversal of 6487750080 is 800577846.

6487750080 is a `hidden beast` number, since 64 + 8 + 7 + 7 + 500 + 80 = 666.

It is a super-2 number, since 2×6487750080² = 84181802201080012800, 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 not an unprimeable number, because it can be changed into a prime (6487750081) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47355772 + ... + 47355908.

Almost surely, 2^6487750080 is an apocalyptic number.

6487750080 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 6487750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792260960).

6487750080 is an abundant number, since it is smaller than the sum of its proper divisors (21096771840).

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

6487750080 is a wasteful number, since it uses less digits than its factorization.

6487750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6487750080 is about 80546.5708767294. The cubic root of 6487750080 is about 1865.0824574755.

The spelling of 6487750080 in words is "six billion, four hundred eighty-seven million, seven hundred fifty thousand, eighty".