6923780864 has 288 divisors, whose sum is σ = 19037652480. Its totient is φ = 2425651200.

The previous prime is 6923780863. The next prime is 6923780867. The reversal of 6923780864 is 4680873296.

It is not an unprimeable number, because it can be changed into a prime (6923780863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506167 + ... + 10506825.

It is an arithmetic number, because the mean of its divisors is an integer number (66102960).

Almost surely, 2^6923780864 is an apocalyptic number.

6923780864 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 6923780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518826240).

6923780864 is an abundant number, since it is smaller than the sum of its proper divisors (12113871616).

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

6923780864 is a wasteful number, since it uses less digits than its factorization.

6923780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The square root of 6923780864 is about 83209.2594847472. The cubic root of 6923780864 is about 1905.9628793337.

It can be divided in two parts, 6923 and 780864, that added together give a palindrome (787787).

The spelling of 6923780864 in words is "six billion, nine hundred twenty-three million, seven hundred eighty thousand, eight hundred sixty-four".