32173256216640 has 1792 divisors, whose sum is σ = 139047321600000. Its totient is φ = 6098985123840.

The previous prime is 32173256216639. The next prime is 32173256216663. The reversal of 32173256216640 is 4661265237123.

It is a happy number.

It is a super-2 number, since 2×32173256216640² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32173256216640.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20324229289 + ... + 20324230871.

Almost surely, 2^{32173256216640} is an apocalyptic number.

32173256216640 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 32173256216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69523660800000).

32173256216640 is an abundant number, since it is smaller than the sum of its proper divisors (106874065383360).

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

32173256216640 is a wasteful number, since it uses less digits than its factorization.

32173256216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 32173256216640 in words is "thirty-two trillion, one hundred seventy-three billion, two hundred fifty-six million, two hundred sixteen thousand, six hundred forty".