66562945920 has 384 divisors, whose sum is σ = 235244917440. Its totient is φ = 17336696832.

The previous prime is 66562945873. The next prime is 66562945937. The reversal of 66562945920 is 2954926566.

66562945920 is a `hidden beast` number, since 6 + 6 + 5 + 629 + 4 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102879037 + ... + 102879683.

Almost surely, 2^66562945920 is an apocalyptic number.

66562945920 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 66562945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117622458720).

66562945920 is an abundant number, since it is smaller than the sum of its proper divisors (168681971520).

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

66562945920 is a wasteful number, since it uses less digits than its factorization.

66562945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 66562945920 in words is "sixty-six billion, five hundred sixty-two million, nine hundred forty-five thousand, nine hundred twenty".