6744377472 has 128 divisors (see below), whose sum is σ = 20762956800. Its totient is φ = 1899770880.

The previous prime is 6744377449. The next prime is 6744377483. The reversal of 6744377472 is 2747734476.

It is a happy number.

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

It is a super-2 number, since 2×6744377472² = 90973254969642221568, which contains 22 as substring.

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

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, 173179 + ... + 208517.

It is an arithmetic number, because the mean of its divisors is an integer number (162210600).

Almost surely, 2^6744377472 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 6744377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381478400).

6744377472 is an abundant number, since it is smaller than the sum of its proper divisors (14018579328).

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

6744377472 is a wasteful number, since it uses less digits than its factorization.

6744377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35434 (or 35422 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 51.

The square root of 6744377472 is about 82124.1588815374. The cubic root of 6744377472 is about 1889.3566926802.

The spelling of 6744377472 in words is "six billion, seven hundred forty-four million, three hundred seventy-seven thousand, four hundred seventy-two".