6964351672320 has 672 divisors, whose sum is σ = 27667096629120. Its totient is φ = 1587428720640.

The previous prime is 6964351672309. The next prime is 6964351672373. The reversal of 6964351672320 is 232761534696.

6964351672320 is a `hidden beast` number, since 6 + 9 + 6 + 435 + 167 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977998360 + ... + 978005480.

Almost surely, 2^{6964351672320} is an apocalyptic number.

6964351672320 is a gapful number since it is divisible by the number (60) 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 6964351672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833548314560).

6964351672320 is an abundant number, since it is smaller than the sum of its proper divisors (20702744956800).

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

6964351672320 is a wasteful number, since it uses less digits than its factorization.

6964351672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6964351672320 in words is "six trillion, nine hundred sixty-four billion, three hundred fifty-one million, six hundred seventy-two thousand, three hundred twenty".