10066327468032 has 576 divisors, whose sum is σ = 30174957540000. Its totient is φ = 2980933795840.

The previous prime is 10066327468003. The next prime is 10066327468133. The reversal of 10066327468032 is 23086472366001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17691260644 + ... + 17691261212.

Almost surely, 2^{10066327468032} is an apocalyptic number.

10066327468032 is a gapful number since it is divisible by the number (12) 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 10066327468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087478770000).

10066327468032 is an abundant number, since it is smaller than the sum of its proper divisors (20108630071968).

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

10066327468032 is a wasteful number, since it uses less digits than its factorization.

10066327468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 10066327468032 in words is "ten trillion, sixty-six billion, three hundred twenty-seven million, four hundred sixty-eight thousand, thirty-two".