6444054624 has 192 divisors, whose sum is σ = 20666741760. Its totient is φ = 1717985280.

The previous prime is 6444054619. The next prime is 6444054637. The reversal of 6444054624 is 4264504446.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628612 + ... + 638780.

It is an arithmetic number, because the mean of its divisors is an integer number (107639280).

Almost surely, 2^6444054624 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 6444054624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333370880).

6444054624 is an abundant number, since it is smaller than the sum of its proper divisors (14222687136).

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

6444054624 is a wasteful number, since it uses less digits than its factorization.

6444054624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10253 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The square root of 6444054624 is about 80274.8691932911. The cubic root of 6444054624 is about 1860.8858677626.

The spelling of 6444054624 in words is "six billion, four hundred forty-four million, fifty-four thousand, six hundred twenty-four".