66749367146400 has 288 divisors, whose sum is σ = 241428841315200. Its totient is φ = 17798457600000.

The previous prime is 66749367146383. The next prime is 66749367146417. The reversal of 66749367146400 is 464176394766.

66749367146400 is a `hidden beast` number, since 6 + 6 + 7 + 493 + 67 + 1 + 46 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66749367146383) and next prime (66749367146417).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296909236 + ... + 297133964.

It is an arithmetic number, because the mean of its divisors is an integer number (838294587900).

Almost surely, 2^{66749367146400} is an apocalyptic number.

66749367146400 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 66749367146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120714420657600).

66749367146400 is an abundant number, since it is smaller than the sum of its proper divisors (174679474168800).

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

66749367146400 is a wasteful number, since it uses less digits than its factorization.

66749367146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238509 (or 238490 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 66749367146400 in words is "sixty-six trillion, seven hundred forty-nine billion, three hundred sixty-seven million, one hundred forty-six thousand, four hundred".