6254741664 has 144 divisors (see below), whose sum is σ = 18316666368. Its totient is φ = 2023128576.

The previous prime is 6254741653. The next prime is 6254741699. The reversal of 6254741664 is 4661474526.

6254741664 is a `hidden beast` number, since 6 + 2 + 547 + 41 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6467709 + ... + 6468675.

It is an arithmetic number, because the mean of its divisors is an integer number (127199072).

Almost surely, 2^6254741664 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 6254741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158333184).

6254741664 is an abundant number, since it is smaller than the sum of its proper divisors (12061924704).

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

6254741664 is a wasteful number, since it uses less digits than its factorization.

6254741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 6254741664 is about 79086.9247347499. The cubic root of 6254741664 is about 1842.4814566221.

The spelling of 6254741664 in words is "six billion, two hundred fifty-four million, seven hundred forty-one thousand, six hundred sixty-four".