662142068640000 has 5760 divisors, whose sum is σ = 2885286172876800. Its totient is φ = 150197981184000.

The previous prime is 662142068639999. The next prime is 662142068640119. The reversal of 662142068640000 is 46860241266.

662142068640000 is a `hidden beast` number, since 6 + 6 + 214 + 20 + 6 + 8 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 639 ways as a sum of consecutive naturals, for example, 4062221279919 + ... + 4062221280081.

Almost surely, 2^{662142068640000} is an apocalyptic number.

662142068640000 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 662142068640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442643086438400).

662142068640000 is an abundant number, since it is smaller than the sum of its proper divisors (2223144104236800).

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

662142068640000 is an equidigital number, since it uses as much as digits as its factorization.

662142068640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 662142068640000 in words is "six hundred sixty-two trillion, one hundred forty-two billion, sixty-eight million, six hundred forty thousand".