6257364864 has 128 divisors (see below), whose sum is σ = 17071274880. Its totient is φ = 2029946880.

The previous prime is 6257364863. The next prime is 6257364907. The reversal of 6257364864 is 4684637526.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257364863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664939 + ... + 2667285.

It is an arithmetic number, because the mean of its divisors is an integer number (133369335).

Almost surely, 2^6257364864 is an apocalyptic number.

6257364864 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 6257364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535637440).

6257364864 is an abundant number, since it is smaller than the sum of its proper divisors (10813910016).

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

6257364864 is a wasteful number, since it uses less digits than its factorization.

6257364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2536 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The square root of 6257364864 is about 79103.5072800189. The cubic root of 6257364864 is about 1842.7389957342.

The spelling of 6257364864 in words is "six billion, two hundred fifty-seven million, three hundred sixty-four thousand, eight hundred sixty-four".