966734320500 has 576 divisors, whose sum is σ = 3377496874752. Its totient is φ = 231270681600.

The previous prime is 966734320499. The next prime is 966734320507. The reversal of 966734320500 is 5023437669.

966734320500 is a `hidden beast` number, since 96 + 6 + 7 + 34 + 3 + 20 + 500 = 666.

966734320500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966734320507) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 571017654 + ... + 571019346.

It is an arithmetic number, because the mean of its divisors is an integer number (5863709852).

Almost surely, 2^966734320500 is an apocalyptic number.

966734320500 is a gapful number since it is divisible by the number (90) 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 966734320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688748437376).

966734320500 is an abundant number, since it is smaller than the sum of its proper divisors (2410762554252).

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

966734320500 is a wasteful number, since it uses less digits than its factorization.

966734320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 966734320500 in words is "nine hundred sixty-six billion, seven hundred thirty-four million, three hundred twenty thousand, five hundred".