7965974016 has 720 divisors, whose sum is σ = 31300100832. Its totient is φ = 1897758720.

The previous prime is 7965973973. The next prime is 7965974059. The reversal of 7965974016 is 6104795697.

7965974016 is a `hidden beast` number, since 7 + 9 + 6 + 597 + 40 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7965973973) and next prime (7965974059).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50738610 + ... + 50738766.

Almost surely, 2^7965974016 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 7965974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650050416).

7965974016 is an abundant number, since it is smaller than the sum of its proper divisors (23334126816).

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

7965974016 is a wasteful number, since it uses less digits than its factorization.

7965974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 7965974016 is about 89252.3053819900. The cubic root of 7965974016 is about 1997.1604717810.

The spelling of 7965974016 in words is "seven billion, nine hundred sixty-five million, nine hundred seventy-four thousand, sixteen".