6439777344 has 1120 divisors, whose sum is σ = 27510126336. Its totient is φ = 1433272320.

The previous prime is 6439777339. The next prime is 6439777367. The reversal of 6439777344 is 4437779346.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10668672) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88216092 + ... + 88216164.

Almost surely, 2^6439777344 is an apocalyptic number.

6439777344 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 6439777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755063168).

6439777344 is an abundant number, since it is smaller than the sum of its proper divisors (21070348992).

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

6439777344 is a wasteful number, since it uses less digits than its factorization.

6439777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The square root of 6439777344 is about 80248.2233074353. The cubic root of 6439777344 is about 1860.4740519065.

The spelling of 6439777344 in words is "six billion, four hundred thirty-nine million, seven hundred seventy-seven thousand, three hundred forty-four".