32640235161600 has 1728 divisors, whose sum is σ = 128078283715200. Its totient is φ = 7304983347200.

The previous prime is 32640235161559. The next prime is 32640235161613. The reversal of 32640235161600 is 616153204623.

It is a super-2 number, since 2×32640235161600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12396593884 + ... + 12396596516.

It is an arithmetic number, because the mean of its divisors is an integer number (74119377150).

Almost surely, 2^{32640235161600} is an apocalyptic number.

32640235161600 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 32640235161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039141857600).

32640235161600 is an abundant number, since it is smaller than the sum of its proper divisors (95438048553600).

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

32640235161600 is a wasteful number, since it uses less digits than its factorization.

32640235161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 32640235161600 in words is "thirty-two trillion, six hundred forty billion, two hundred thirty-five million, one hundred sixty-one thousand, six hundred".