6748909440 has 768 divisors, whose sum is σ = 28204485120. Its totient is φ = 1336393728.

The previous prime is 6748909439. The next prime is 6748909451. The reversal of 6748909440 is 449098476.

It is a super-2 number, since 2×6748909440² = 91095557258642227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63073867 + ... + 63073973.

It is an arithmetic number, because the mean of its divisors is an integer number (36724590).

Almost surely, 2^6748909440 is an apocalyptic number.

6748909440 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 6748909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102242560).

6748909440 is an abundant number, since it is smaller than the sum of its proper divisors (21455575680).

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

6748909440 is a wasteful number, since it uses less digits than its factorization.

6748909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 6748909440 is about 82151.7464208765. The cubic root of 6748909440 is about 1889.7797901383.

The spelling of 6748909440 in words is "six billion, seven hundred forty-eight million, nine hundred nine thousand, four hundred forty".