7664068456 has 64 divisors (see below), whose sum is σ = 16656192000. Its totient is φ = 3269396160.

The previous prime is 7664068439. The next prime is 7664068457. The reversal of 7664068456 is 6548604667.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7664068457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157485 + ... + 200323.

It is an arithmetic number, because the mean of its divisors is an integer number (260253000).

Almost surely, 2^7664068456 is an apocalyptic number.

7664068456 is a gapful number since it is divisible by the number (76) 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 7664068456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328096000).

7664068456 is an abundant number, since it is smaller than the sum of its proper divisors (8992123544).

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

7664068456 is a wasteful number, since it uses less digits than its factorization.

7664068456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42982 (or 42978 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The square root of 7664068456 is about 87544.6654913936. The cubic root of 7664068456 is about 1971.6044592593.

The spelling of 7664068456 in words is "seven billion, six hundred sixty-four million, sixty-eight thousand, four hundred fifty-six".