66229626960 has 720 divisors, whose sum is σ = 281826604800. Its totient is φ = 13842855936.

The previous prime is 66229626907. The next prime is 66229626997. The reversal of 66229626960 is 6962692266.

66229626960 is a `hidden beast` number, since 6 + 6 + 2 + 2 + 9 + 626 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 66229626897 and 66229626906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19437577 + ... + 19440983.

It is an arithmetic number, because the mean of its divisors is an integer number (391425840).

Almost surely, 2^66229626960 is an apocalyptic number.

66229626960 is a gapful number since it is divisible by the number (60) 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 66229626960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140913302400).

66229626960 is an abundant number, since it is smaller than the sum of its proper divisors (215596977840).

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

66229626960 is a wasteful number, since it uses less digits than its factorization.

66229626960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 66229626960 in words is "sixty-six billion, two hundred twenty-nine million, six hundred twenty-six thousand, nine hundred sixty".