32540320512 has 864 divisors, whose sum is σ = 122608604160. Its totient is φ = 8424953856.

The previous prime is 32540320507. The next prime is 32540320523. The reversal of 32540320512 is 21502304523.

It is a happy number.

32540320512 is a `hidden beast` number, since 325 + 4 + 0 + 320 + 5 + 12 = 666.

32540320512 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1414796533 + ... + 1414796555.

Almost surely, 2^32540320512 is an apocalyptic number.

32540320512 is a gapful number since it is divisible by the number (32) 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 32540320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61304302080).

32540320512 is an abundant number, since it is smaller than the sum of its proper divisors (90068283648).

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

32540320512 is an frugal number, since it uses more digits than its factorization.

32540320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 32540320512 in words is "thirty-two billion, five hundred forty million, three hundred twenty thousand, five hundred twelve".