6487647880032 has 384 divisors, whose sum is σ = 21571549655040. Its totient is φ = 1902529036800.

The previous prime is 6487647880013. The next prime is 6487647880067. The reversal of 6487647880032 is 2300887467846.

6487647880032 is a `hidden beast` number, since 6 + 4 + 87 + 6 + 478 + 80 + 0 + 3 + 2 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23728618 + ... + 24000470.

It is an arithmetic number, because the mean of its divisors is an integer number (56175910560).

Almost surely, 2^{6487647880032} is an apocalyptic number.

6487647880032 is a gapful number since it is divisible by the number (62) 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 6487647880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785774827520).

6487647880032 is an abundant number, since it is smaller than the sum of its proper divisors (15083901775008).

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

6487647880032 is a wasteful number, since it uses less digits than its factorization.

6487647880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271926 (or 271900 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 6487647880032 in words is "six trillion, four hundred eighty-seven billion, six hundred forty-seven million, eight hundred eighty thousand, thirty-two".