6934766464 has 64 divisors (see below), whose sum is σ = 14325696000. Its totient is φ = 3340316160.

The previous prime is 6934766441. The next prime is 6934766561. The reversal of 6934766464 is 4646674396.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896887 + ... + 904585.

It is an arithmetic number, because the mean of its divisors is an integer number (223839000).

Almost surely, 2^6934766464 is an apocalyptic number.

6934766464 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 6934766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162848000).

6934766464 is an abundant number, since it is smaller than the sum of its proper divisors (7390929536).

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

6934766464 is a wasteful number, since it uses less digits than its factorization.

6934766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7959 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 55.

The square root of 6934766464 is about 83275.2452052829. The cubic root of 6934766464 is about 1906.9703771228.

The spelling of 6934766464 in words is "six billion, nine hundred thirty-four million, seven hundred sixty-six thousand, four hundred sixty-four".