32725022400 has 756 divisors, whose sum is σ = 142481762280. Its totient is φ = 7083417600.

The previous prime is 32725022377. The next prime is 32725022401. The reversal of 32725022400 is 422052723.

32725022400 is a `hidden beast` number, since 3 + 2 + 7 + 250 + 2 + 2 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32725022401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13405180 + ... + 13407620.

Almost surely, 2^32725022400 is an apocalyptic number.

32725022400 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 32725022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71240881140).

32725022400 is an abundant number, since it is smaller than the sum of its proper divisors (109756739880).

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

32725022400 is a wasteful number, since it uses less digits than its factorization.

32725022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 32725022400 in words is "thirty-two billion, seven hundred twenty-five million, twenty-two thousand, four hundred".