6487859076480 has 384 divisors, whose sum is σ = 23177123555040. Its totient is φ = 1671180288000.

The previous prime is 6487859076463. The next prime is 6487859076481. The reversal of 6487859076480 is 846709587846.

6487859076480 is a `hidden beast` number, since 6 + 4 + 8 + 78 + 5 + 9 + 0 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6487859076399 and 6487859076408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6487859076481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23716159 + ... + 23988161.

Almost surely, 2^{6487859076480} is an apocalyptic number.

6487859076480 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 6487859076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588561777520).

6487859076480 is an abundant number, since it is smaller than the sum of its proper divisors (16689264478560).

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

6487859076480 is a wasteful number, since it uses less digits than its factorization.

6487859076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272170 (or 272155 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 6487859076480 in words is "six trillion, four hundred eighty-seven billion, eight hundred fifty-nine million, seventy-six thousand, four hundred eighty".