6964704768 has 480 divisors, whose sum is σ = 23079960288. Its totient is φ = 1857945600.

The previous prime is 6964704767. The next prime is 6964704781. The reversal of 6964704768 is 8674074696.

It is a happy number.

It is a super-2 number, since 2×6964704768² = 97014225010803867648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6964704763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114175458 + ... + 114175518.

Almost surely, 2^6964704768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6964704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539980144).

6964704768 is an abundant number, since it is smaller than the sum of its proper divisors (16115255520).

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

6964704768 is a wasteful number, since it uses less digits than its factorization.

6964704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The square root of 6964704768 is about 83454.8067399356. The cubic root of 6964704768 is about 1909.7106519645.

The spelling of 6964704768 in words is "six billion, nine hundred sixty-four million, seven hundred four thousand, seven hundred sixty-eight".