66737343282624 has 896 divisors, whose sum is σ = 232973143603200. Its totient is φ = 18567147110400.

The previous prime is 66737343282613. The next prime is 66737343282637. The reversal of 66737343282624 is 42628234373766.

66737343282624 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 7 + 343 + 28 + 262 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26472566484 + ... + 26472569004.

It is an arithmetic number, because the mean of its divisors is an integer number (260014669200).

Almost surely, 2^{66737343282624} is an apocalyptic number.

66737343282624 is a gapful number since it is divisible by the number (64) 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 66737343282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116486571801600).

66737343282624 is an abundant number, since it is smaller than the sum of its proper divisors (166235800320576).

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

66737343282624 is an equidigital number, since it uses as much as digits as its factorization.

66737343282624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3233 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 63.

The spelling of 66737343282624 in words is "sixty-six trillion, seven hundred thirty-seven billion, three hundred forty-three million, two hundred eighty-two thousand, six hundred twenty-four".