6340789728 has 576 divisors, whose sum is σ = 23817810240. Its totient is φ = 1625702400.

The previous prime is 6340789723. The next prime is 6340789729. The reversal of 6340789728 is 8279870436.

It is a super-2 number, since 2×6340789728² = 80411228749420627968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6340789723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22564948 + ... + 22565228.

It is an arithmetic number, because the mean of its divisors is an integer number (41350365).

Almost surely, 2^6340789728 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 6340789728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908905120).

6340789728 is an abundant number, since it is smaller than the sum of its proper divisors (17477020512).

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

6340789728 is a wasteful number, since it uses less digits than its factorization.

6340789728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 6340789728 is about 79629.0758956802. The cubic root of 6340789728 is about 1850.8921655433.

The spelling of 6340789728 in words is "six billion, three hundred forty million, seven hundred eighty-nine thousand, seven hundred twenty-eight".