32240257920 has 1536 divisors, whose sum is σ = 141145804800. Its totient is φ = 6688604160.

The previous prime is 32240257919. The next prime is 32240257927. The reversal of 32240257920 is 2975204223.

32240257920 is a `hidden beast` number, since 3 + 22 + 40 + 2 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32240257927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 749773419 + ... + 749773461.

It is an arithmetic number, because the mean of its divisors is an integer number (91891800).

Almost surely, 2^32240257920 is an apocalyptic number.

32240257920 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 32240257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70572902400).

32240257920 is an abundant number, since it is smaller than the sum of its proper divisors (108905546880).

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

32240257920 is a wasteful number, since it uses less digits than its factorization.

32240257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 32240257920 in words is "thirty-two billion, two hundred forty million, two hundred fifty-seven thousand, nine hundred twenty".