66963465528 has 128 divisors (see below), whose sum is σ = 184455532800. Its totient is φ = 20171483136.

The previous prime is 66963465523. The next prime is 66963465581. The reversal of 66963465528 is 82556436966.

It is a happy number.

It is a Cunningham number, because it is equal to 258773²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66963465523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002750 + ... + 1067442.

It is an arithmetic number, because the mean of its divisors is an integer number (1441058850).

Almost surely, 2^66963465528 is an apocalyptic number.

66963465528 is a gapful number since it is divisible by the number (68) 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 66963465528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92227766400).

66963465528 is an abundant number, since it is smaller than the sum of its proper divisors (117492067272).

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

66963465528 is a wasteful number, since it uses less digits than its factorization.

66963465528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64821 (or 64817 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 60.

The spelling of 66963465528 in words is "sixty-six billion, nine hundred sixty-three million, four hundred sixty-five thousand, five hundred twenty-eight".