6744925824 has 256 divisors, whose sum is σ = 23213568000. Its totient is φ = 1685090304.

The previous prime is 6744925823. The next prime is 6744925829. The reversal of 6744925824 is 4285294476.

It is not an unprimeable number, because it can be changed into a prime (6744925823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658857 + ... + 669015.

It is an arithmetic number, because the mean of its divisors is an integer number (90678000).

Almost surely, 2^6744925824 is an apocalyptic number.

6744925824 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 6744925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606784000).

6744925824 is an abundant number, since it is smaller than the sum of its proper divisors (16468642176).

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

6744925824 is a wasteful number, since it uses less digits than its factorization.

6744925824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10203 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 6744925824 is about 82127.4973684210. The cubic root of 6744925824 is about 1889.4078960442.

The spelling of 6744925824 in words is "six billion, seven hundred forty-four million, nine hundred twenty-five thousand, eight hundred twenty-four".