66906516960 has 72 divisors (see below), whose sum is σ = 228318494040. Its totient is φ = 17841737472.

The previous prime is 66906516923. The next prime is 66906516997. The reversal of 66906516960 is 6961560966.

It is a happy number.

66906516960 is a `hidden beast` number, since 6 + 69 + 0 + 6 + 516 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (66906516923) and next prime (66906516997).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66906516897 and 66906516906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23229990 + ... + 23232869.

It is an arithmetic number, because the mean of its divisors is an integer number (3171090195).

Almost surely, 2^66906516960 is an apocalyptic number.

66906516960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66906516960 is an abundant number, since it is smaller than the sum of its proper divisors (161411977080).

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

66906516960 is a wasteful number, since it uses less digits than its factorization.

66906516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46462880 (or 46462869 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 66906516960 in words is "sixty-six billion, nine hundred six million, five hundred sixteen thousand, nine hundred sixty".