66034339430400 has 1620 divisors, whose sum is σ = 269680065944016. Its totient is φ = 16005405081600.

The previous prime is 66034339430341. The next prime is 66034339430429. The reversal of 66034339430400 is 403493343066.

66034339430400 is a `hidden beast` number, since 6 + 6 + 0 + 3 + 4 + 339 + 4 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12043466059 + ... + 12043471541.

Almost surely, 2^{66034339430400} is an apocalyptic number.

66034339430400 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 66034339430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840032972008).

66034339430400 is an abundant number, since it is smaller than the sum of its proper divisors (203645726513616).

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

66034339430400 is an equidigital number, since it uses as much as digits as its factorization.

66034339430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 66034339430400 in words is "sixty-six trillion, thirty-four billion, three hundred thirty-nine million, four hundred thirty thousand, four hundred".