32201664000 has 640 divisors, whose sum is σ = 118886676480. Its totient is φ = 7667712000.

The previous prime is 32201663971. The next prime is 32201664029. The reversal of 32201664000 is 46610223.

It is an interprime number because it is at equal distance from previous prime (32201663971) and next prime (32201664029).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166847904 + ... + 166848096.

It is an arithmetic number, because the mean of its divisors is an integer number (185760432).

Almost surely, 2^32201664000 is an apocalyptic number.

32201664000 is a gapful number since it is divisible by the number (30) 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 32201664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59443338240).

32201664000 is an abundant number, since it is smaller than the sum of its proper divisors (86685012480).

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

32201664000 is a wasteful number, since it uses less digits than its factorization.

32201664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 32201664000 in words is "thirty-two billion, two hundred one million, six hundred sixty-four thousand".