6736068864 has 432 divisors, whose sum is σ = 23808512000. Its totient is φ = 1858775040.

The previous prime is 6736068821. The next prime is 6736068887. The reversal of 6736068864 is 4688606376.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6736068864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13498887 + ... + 13499385.

Almost surely, 2^6736068864 is an apocalyptic number.

6736068864 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 6736068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904256000).

6736068864 is an abundant number, since it is smaller than the sum of its proper divisors (17072443136).

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

6736068864 is an equidigital number, since it uses as much as digits as its factorization.

6736068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 6736068864 is about 82073.5576419105. The cubic root of 6736068864 is about 1888.5805214736.

The spelling of 6736068864 in words is "six billion, seven hundred thirty-six million, sixty-eight thousand, eight hundred sixty-four".