32097521228640 has 768 divisors, whose sum is σ = 122904727142400. Its totient is φ = 6878128545792.

The previous prime is 32097521228627. The next prime is 32097521228657. The reversal of 32097521228640 is 4682212579023.

It is a congruent number.

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, 2441426547 + ... + 2441439693.

It is an arithmetic number, because the mean of its divisors is an integer number (160032196800).

It is a 1-persistent number, because it is pandigital, but 2⋅32097521228640 = 64195042457280 is not.

Almost surely, 2^{32097521228640} is an apocalyptic number.

32097521228640 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 32097521228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61452363571200).

32097521228640 is an abundant number, since it is smaller than the sum of its proper divisors (90807205913760).

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

32097521228640 is a wasteful number, since it uses less digits than its factorization.

32097521228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13587 (or 13579 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 32097521228640 in words is "thirty-two trillion, ninety-seven billion, five hundred twenty-one million, two hundred twenty-eight thousand, six hundred forty".