966402565632 has 800 divisors, whose sum is σ = 3489215009280. Its totient is φ = 260138926080.

The previous prime is 966402565621. The next prime is 966402565633. The reversal of 966402565632 is 236565204669.

966402565632 is a `hidden beast` number, since 9 + 6 + 6 + 40 + 2 + 565 + 6 + 32 = 666.

It is a super-2 number, since 2×966402565632² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966402565633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1329301653 + ... + 1329302379.

Almost surely, 2^966402565632 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 966402565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744607504640).

966402565632 is an abundant number, since it is smaller than the sum of its proper divisors (2522812443648).

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

966402565632 is a wasteful number, since it uses less digits than its factorization.

966402565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 966402565632 in words is "nine hundred sixty-six billion, four hundred two million, five hundred sixty-five thousand, six hundred thirty-two".