6744291840 has 960 divisors, whose sum is σ = 28955646720. Its totient is φ = 1427374080.

The previous prime is 6744291767. The next prime is 6744291847. The reversal of 6744291840 is 481924476.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6744291847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75778516 + ... + 75778604.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 2^6744291840 is an apocalyptic number.

6744291840 is a gapful number since it is divisible by the number (60) 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 6744291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

6744291840 is an abundant number, since it is smaller than the sum of its proper divisors (22211354880).

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

6744291840 is a wasteful number, since it uses less digits than its factorization.

6744291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6744291840 is about 82123.6375229446. The cubic root of 6744291840 is about 1889.3486963861.

The spelling of 6744291840 in words is "six billion, seven hundred forty-four million, two hundred ninety-one thousand, eight hundred forty".