66507827904 has 336 divisors, whose sum is σ = 230892217920. Its totient is φ = 17898209280.

The previous prime is 66507827833. The next prime is 66507827927. The reversal of 66507827904 is 40972870566.

66507827904 is a `hidden beast` number, since 66 + 507 + 8 + 2 + 79 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4787112 + ... + 4800984.

It is an arithmetic number, because the mean of its divisors is an integer number (687179220).

Almost surely, 2^66507827904 is an apocalyptic number.

66507827904 is a gapful number since it is divisible by the number (64) 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 66507827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115446108960).

66507827904 is an abundant number, since it is smaller than the sum of its proper divisors (164384390016).

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

66507827904 is a wasteful number, since it uses less digits than its factorization.

66507827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13955 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 66507827904 in words is "sixty-six billion, five hundred seven million, eight hundred twenty-seven thousand, nine hundred four".