6547009982688 has 576 divisors, whose sum is σ = 21848181788160. Its totient is φ = 1821223305216.

The previous prime is 6547009982663. The next prime is 6547009982749. The reversal of 6547009982688 is 8862899007456.

6547009982688 is a `hidden beast` number, since 6 + 5 + 470 + 0 + 9 + 98 + 2 + 68 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5968103356 + ... + 5968104452.

It is an arithmetic number, because the mean of its divisors is an integer number (37930871160).

Almost surely, 2^{6547009982688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6547009982688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924090894080).

6547009982688 is an abundant number, since it is smaller than the sum of its proper divisors (15301171805472).

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

6547009982688 is a wasteful number, since it uses less digits than its factorization.

6547009982688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 6547009982688 in words is "six trillion, five hundred forty-seven billion, nine million, nine hundred eighty-two thousand, six hundred eighty-eight".