66068003252160 has 1344 divisors, whose sum is σ = 305693654482944. Its totient is φ = 12696403968000.

The previous prime is 66068003252149. The next prime is 66068003252171. The reversal of 66068003252160 is 6125230086066.

66068003252160 is a `hidden beast` number, since 6 + 6 + 0 + 68 + 0 + 0 + 3 + 2 + 521 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (66068003252149) and next prime (66068003252171).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137876985 + ... + 138355335.

It is an arithmetic number, because the mean of its divisors is an integer number (227450635776).

Almost surely, 2^{66068003252160} is an apocalyptic number.

66068003252160 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 66068003252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152846827241472).

66068003252160 is an abundant number, since it is smaller than the sum of its proper divisors (239625651230784).

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

66068003252160 is a wasteful number, since it uses less digits than its factorization.

66068003252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478442 (or 478429 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 66068003252160 in words is "sixty-six trillion, sixty-eight billion, three million, two hundred fifty-two thousand, one hundred sixty".