66488368320 has 896 divisors, whose sum is σ = 266191349760. Its totient is φ = 15482880000.

The previous prime is 66488368319. The next prime is 66488368337. The reversal of 66488368320 is 2386388466.

It is a happy number.

66488368320 is a `hidden beast` number, since 66 + 488 + 3 + 6 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 440320245 + ... + 440320395.

It is an arithmetic number, because the mean of its divisors is an integer number (297088560).

Almost surely, 2^66488368320 is an apocalyptic number.

66488368320 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 66488368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133095674880).

66488368320 is an abundant number, since it is smaller than the sum of its proper divisors (199702981440).

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

66488368320 is a wasteful number, since it uses less digits than its factorization.

66488368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 66488368320 in words is "sixty-six billion, four hundred eighty-eight million, three hundred sixty-eight thousand, three hundred twenty".