32381966064 has 320 divisors, whose sum is σ = 103081973760. Its totient is φ = 8558161920.

The previous prime is 32381966063. The next prime is 32381966107. The reversal of 32381966064 is 46066918323.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32381966063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76916574 + ... + 76916994.

It is an arithmetic number, because the mean of its divisors is an integer number (322131168).

Almost surely, 2^32381966064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32381966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51540986880).

32381966064 is an abundant number, since it is smaller than the sum of its proper divisors (70700007696).

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

32381966064 is a wasteful number, since it uses less digits than its factorization.

32381966064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 32381966064 in words is "thirty-two billion, three hundred eighty-one million, nine hundred sixty-six thousand, sixty-four".