66313071000 has 384 divisors, whose sum is σ = 255154199040. Its totient is φ = 15376416000.

The previous prime is 66313070983. The next prime is 66313071053. The reversal of 66313071000 is 17031366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2262439 + ... + 2291561.

It is an arithmetic number, because the mean of its divisors is an integer number (664464060).

Almost surely, 2^66313071000 is an apocalyptic number.

66313071000 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 66313071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127577099520).

66313071000 is an abundant number, since it is smaller than the sum of its proper divisors (188841128040).

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

66313071000 is a wasteful number, since it uses less digits than its factorization.

66313071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29184 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 66313071000 in words is "sixty-six billion, three hundred thirteen million, seventy-one thousand".