6424037664 has 96 divisors (see below), whose sum is σ = 18462427200. Its totient is φ = 1939660800.

The previous prime is 6424037657. The next prime is 6424037681. The reversal of 6424037664 is 4667304246.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285912 + ... + 307560.

It is an arithmetic number, because the mean of its divisors is an integer number (192316950).

Almost surely, 2^6424037664 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 6424037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231213600).

6424037664 is an abundant number, since it is smaller than the sum of its proper divisors (12038389536).

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

6424037664 is a wasteful number, since it uses less digits than its factorization.

6424037664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21954 (or 21946 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 6424037664 is about 80150.0945975736. The cubic root of 6424037664 is about 1858.9570659136.

The spelling of 6424037664 in words is "six billion, four hundred twenty-four million, thirty-seven thousand, six hundred sixty-four".