32064036004000 has 768 divisors, whose sum is σ = 108027534311424. Its totient is φ = 9028882944000.

The previous prime is 32064036003959. The next prime is 32064036004027. The reversal of 32064036004000 is 40063046023.

32064036004000 is a nontrivial binomial coefficient, being equal to C(8008001, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 32064036004000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188102809 + ... + 188273191.

It is an arithmetic number, because the mean of its divisors is an integer number (140660851968).

Almost surely, 2^{32064036004000} is an apocalyptic number.

32064036004000 is the 8008000-th triangular number.

32064036004000 is the 2669334-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32064036004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54013767155712).

32064036004000 is an abundant number, since it is smaller than the sum of its proper divisors (75963498307424).

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

32064036004000 is a wasteful number, since it uses less digits than its factorization.

32064036004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170486 (or 170468 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 32064036004000 in words is "thirty-two trillion, sixty-four billion, thirty-six million, four thousand", and thus it is an eban number.