7966632960 has 1056 divisors, whose sum is σ = 34523228160. Its totient is φ = 1725235200.

The previous prime is 7966632959. The next prime is 7966632977. The reversal of 7966632960 is 692366697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7966632897 and 7966632906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256988145 + ... + 256988175.

Almost surely, 2^7966632960 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 7966632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261614080).

7966632960 is an abundant number, since it is smaller than the sum of its proper divisors (26556595200).

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

7966632960 is a wasteful number, since it uses less digits than its factorization.

7966632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 7966632960 is about 89255.9967733261. The cubic root of 7966632960 is about 1997.2155385195.

The spelling of 7966632960 in words is "seven billion, nine hundred sixty-six million, six hundred thirty-two thousand, nine hundred sixty".