6934846464 has 264 divisors, whose sum is σ = 24648172640. Its totient is φ = 1828749312.

The previous prime is 6934846433. The next prime is 6934846507. The reversal of 6934846464 is 4646484396.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6934846464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834522 + ... + 842790.

Almost surely, 2^6934846464 is an apocalyptic number.

6934846464 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 6934846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324086320).

6934846464 is an abundant number, since it is smaller than the sum of its proper divisors (17713326176).

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

6934846464 is a wasteful number, since it uses less digits than its factorization.

6934846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8294 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 6934846464 is about 83275.7255387187. The cubic root of 6934846464 is about 1906.9777100803.

The spelling of 6934846464 in words is "six billion, nine hundred thirty-four million, eight hundred forty-six thousand, four hundred sixty-four".