66071116800 has 1584 divisors, whose sum is σ = 284571647360. Its totient is φ = 15049359360.

The previous prime is 66071116799. The next prime is 66071116801. The reversal of 66071116800 is 861117066.

It is an interprime number because it is at equal distance from previous prime (66071116799) and next prime (66071116801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66071116801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1536537579 + ... + 1536537621.

Almost surely, 2^66071116800 is an apocalyptic number.

66071116800 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 66071116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142285823680).

66071116800 is an abundant number, since it is smaller than the sum of its proper divisors (218500530560).

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

66071116800 is a wasteful number, since it uses less digits than its factorization.

66071116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 66071116800 in words is "sixty-six billion, seventy-one million, one hundred sixteen thousand, eight hundred".