32164662326160 has 640 divisors, whose sum is σ = 124869127864320. Its totient is φ = 6667702272000.

The previous prime is 32164662326149. The next prime is 32164662326179. The reversal of 32164662326160 is 6162326646123.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2784572385 + ... + 2784583935.

It is an arithmetic number, because the mean of its divisors is an integer number (195108012288).

Almost surely, 2^{32164662326160} is an apocalyptic number.

32164662326160 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 32164662326160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62434563932160).

32164662326160 is an abundant number, since it is smaller than the sum of its proper divisors (92704465538160).

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

32164662326160 is a wasteful number, since it uses less digits than its factorization.

32164662326160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 32164662326160 in words is "thirty-two trillion, one hundred sixty-four billion, six hundred sixty-two million, three hundred twenty-six thousand, one hundred sixty".