66003953000832 has 768 divisors, whose sum is σ = 239462595440640. Its totient is φ = 16952053248000.

The previous prime is 66003953000807. The next prime is 66003953001011. The reversal of 66003953000832 is 23800035930066.

66003953000832 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 39 + 530 + 0 + 0 + 83 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3288513357 + ... + 3288533427.

It is an arithmetic number, because the mean of its divisors is an integer number (311800254480).

Almost surely, 2^{66003953000832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66003953000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731297720320).

66003953000832 is an abundant number, since it is smaller than the sum of its proper divisors (173458642439808).

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

66003953000832 is a wasteful number, since it uses less digits than its factorization.

66003953000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20523 (or 20508 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

Adding to 66003953000832 its reverse (23800035930066), we get a palindrome (89803988930898).

The spelling of 66003953000832 in words is "sixty-six trillion, three billion, nine hundred fifty-three million, eight hundred thirty-two", and thus it is an aban number.