6965925604416 has 189 divisors, whose sum is σ = 20738551223221. Its totient is φ = 2321405111808.

The previous prime is 6965925604411. The next prime is 6965925604457. The reversal of 6965925604416 is 6144065295696.

The square root of 6965925604416 is 2639304.

It is a perfect power (a square), and thus also a powerful number.

6965925604416 is a `hidden beast` number, since 6 + 9 + 6 + 5 + 9 + 2 + 5 + 604 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 748363406400 + 6217562198016 = 865080^2 + 2493504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6965925604411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1710266956 + ... + 1710271028.

Almost surely, 2^{6965925604416} is an apocalyptic number.

6965925604416 is the 2639304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6965925604416

6965925604416 is an abundant number, since it is smaller than the sum of its proper divisors (13772625618805).

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

6965925604416 is an frugal number, since it uses more digits than its factorization.

6965925604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 6965925604416 in words is "six trillion, nine hundred sixty-five billion, nine hundred twenty-five million, six hundred four thousand, four hundred sixteen".