66073659531264 has 1120 divisors, whose sum is σ = 246831581373696. Its totient is φ = 17111041966080.

The previous prime is 66073659531251. The next prime is 66073659531281. The reversal of 66073659531264 is 46213595637066.

66073659531264 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 3 + 6 + 595 + 31 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19057875259 + ... + 19057878725.

Almost surely, 2^{66073659531264} is an apocalyptic number.

66073659531264 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 66073659531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123415790686848).

66073659531264 is an abundant number, since it is smaller than the sum of its proper divisors (180757921842432).

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

66073659531264 is a wasteful number, since it uses less digits than its factorization.

66073659531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 66073659531264 in words is "sixty-six trillion, seventy-three billion, six hundred fifty-nine million, five hundred thirty-one thousand, two hundred sixty-four".