32254066400 has 72 divisors (see below), whose sum is σ = 78967836360. Its totient is φ = 12864335360.

The previous prime is 32254066373. The next prime is 32254066409. The reversal of 32254066400 is 466045223.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32254066409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219506 + ... + 335694.

It is an arithmetic number, because the mean of its divisors is an integer number (1096775505).

Almost surely, 2^32254066400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32254066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39483918180).

32254066400 is an abundant number, since it is smaller than the sum of its proper divisors (46713769960).

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

32254066400 is a wasteful number, since it uses less digits than its factorization.

32254066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116556 (or 116543 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 32254066400 in words is "thirty-two billion, two hundred fifty-four million, sixty-six thousand, four hundred".