66248108640 has 288 divisors, whose sum is σ = 271966705920. Its totient is φ = 14345413632.

The previous prime is 66248108599. The next prime is 66248108743. The reversal of 66248108640 is 4680184266.

66248108640 is a `hidden beast` number, since 6 + 624 + 8 + 10 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 18567 + ... + 364473.

It is an arithmetic number, because the mean of its divisors is an integer number (944328840).

Almost surely, 2^66248108640 is an apocalyptic number.

66248108640 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 66248108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983352960).

66248108640 is an abundant number, since it is smaller than the sum of its proper divisors (205718597280).

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

66248108640 is a wasteful number, since it uses less digits than its factorization.

66248108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345954 (or 345943 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 66248108640 in words is "sixty-six billion, two hundred forty-eight million, one hundred eight thousand, six hundred forty".