66648960000 has 1760 divisors, whose sum is σ = 306951744000. Its totient is φ = 13934592000.

The previous prime is 66648959989. The next prime is 66648960011. The reversal of 66648960000 is 6984666.

It is an interprime number because it is at equal distance from previous prime (66648959989) and next prime (66648960011).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2298239986 + ... + 2298240014.

It is an arithmetic number, because the mean of its divisors is an integer number (174404400).

Almost surely, 2^66648960000 is an apocalyptic number.

66648960000 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 66648960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153475872000).

66648960000 is an abundant number, since it is smaller than the sum of its proper divisors (240302784000).

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

66648960000 is a wasteful number, since it uses less digits than its factorization.

66648960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 66648960000 in words is "sixty-six billion, six hundred forty-eight million, nine hundred sixty thousand".