6749429760 has 448 divisors, whose sum is σ = 25478841600. Its totient is φ = 1689255936.

The previous prime is 6749429699. The next prime is 6749429767. The reversal of 6749429760 is 679249476.

It is a happy number.

6749429760 is a `hidden beast` number, since 6 + 7 + 494 + 2 + 97 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6749429697 and 6749429706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6749429767) 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, 18800461 + ... + 18800819.

Almost surely, 2^6749429760 is an apocalyptic number.

6749429760 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 6749429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739420800).

6749429760 is an abundant number, since it is smaller than the sum of its proper divisors (18729411840).

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

6749429760 is a wasteful number, since it uses less digits than its factorization.

6749429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6749429760 is about 82154.9131823533. The cubic root of 6749429760 is about 1889.8283542784.

The spelling of 6749429760 in words is "six billion, seven hundred forty-nine million, four hundred twenty-nine thousand, seven hundred sixty".