66824267811840 has 4224 divisors, whose sum is σ = 315191413555200. Its totient is φ = 13169861591040.

The previous prime is 66824267811793. The next prime is 66824267811883. The reversal of 66824267811840 is 4811876242866.

It is a happy number.

66824267811840 is a `hidden beast` number, since 6 + 6 + 82 + 426 + 7 + 81 + 18 + 40 = 666.

66824267811840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 186140021581 + ... + 186140021939.

Almost surely, 2^{66824267811840} is an apocalyptic number.

66824267811840 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 66824267811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157595706777600).

66824267811840 is an abundant number, since it is smaller than the sum of its proper divisors (248367145743360).

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

66824267811840 is a wasteful number, since it uses less digits than its factorization.

66824267811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 66824267811840 in words is "sixty-six trillion, eight hundred twenty-four billion, two hundred sixty-seven million, eight hundred eleven thousand, eight hundred forty".