6287971649328 has 160 divisors (see below), whose sum is σ = 18595992409280. Its totient is φ = 2033387919360.

The previous prime is 6287971649327. The next prime is 6287971649419. The reversal of 6287971649328 is 8239461797826.

6287971649328 is a `hidden beast` number, since 6 + 28 + 7 + 97 + 1 + 6 + 493 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6287971649327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289350 + ... + 3558042.

It is an arithmetic number, because the mean of its divisors is an integer number (116224952558).

Almost surely, 2^{6287971649328} 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 6287971649328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297996204640).

6287971649328 is an abundant number, since it is smaller than the sum of its proper divisors (12308020759952).

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

6287971649328 is a wasteful number, since it uses less digits than its factorization.

6287971649328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268844 (or 3268832 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 6287971649328 in words is "six trillion, two hundred eighty-seven billion, nine hundred seventy-one million, six hundred forty-nine thousand, three hundred twenty-eight".