6257984316864 has 224 divisors, whose sum is σ = 19230487051776. Its totient is φ = 1759116165120.

The previous prime is 6257984316853. The next prime is 6257984316869. The reversal of 6257984316864 is 4686134897526.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257984316869) 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, 26767644 + ... + 27000420.

It is an arithmetic number, because the mean of its divisors is an integer number (85850388624).

Almost surely, 2^{6257984316864} is an apocalyptic number.

6257984316864 is a gapful number since it is divisible by the number (64) 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 6257984316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615243525888).

6257984316864 is an abundant number, since it is smaller than the sum of its proper divisors (12972502734912).

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

6257984316864 is a wasteful number, since it uses less digits than its factorization.

6257984316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233123 (or 233113 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 6257984316864 in words is "six trillion, two hundred fifty-seven billion, nine hundred eighty-four million, three hundred sixteen thousand, eight hundred sixty-four".